Chris's Publications

MR3393381 Reviewed Parker, Chris; Salarian, M. Reza; Stroth, Gernot A characterisation of almost simple groups with socle 2E6(2) or M(22). Forum Math. 27 (2015), no. 5, 2853–2899. (Reviewer: Ben Fairbairn) 20D05 (20D25)

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MR3356382 Reviewed Magaard, Kay; Parker, Christopher Remarks on lifting Beauville structures of quasisimple groups. Beauville surfaces and groups, 121–128, Springer Proc. Math. Stat., 123, Springer, Cham, 2015. (Reviewer: Ben Fairbairn) 20E34 (14J29 20D99 20F05 30F10)

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MR3325764 Reviewed Parker, Chris; Stroth, Gernot A family of fusion systems related to the groups Sp4(pa) and G2(pa). Arch. Math. (Basel) 104 (2015), no. 4, 311–323. (Reviewer: Zhencai Shen) 20D20 (20D06 20D15)

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MR3188329 Reviewed Parker, Chris; Stroth, Gernot An improved 3-local characterization of McL and its automorphism group. J. Algebra 406 (2014), 69–90. (Reviewer: Rebecca A. H. Waldecker) 20D08 (20D45)

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MR3149638 Reviewed Parker, Chris; Stroth, Gernot F4(2) and its automorphism group. J. Pure Appl. Algebra 218 (2014), no. 5, 852–878. (Reviewer: Andrea Previtali) 20D05

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MR3126395 Reviewed Fairbairn, Ben; Magaard, Kay; Parker, Christopher Corrigendum: Generation of finite quasisimple groups with an application to groups acting on Beauville surfaces [MR3108830]. Proc. Lond. Math. Soc. (3) 107 (2013), no. 5, 1220. (Reviewer: Milagros Izquierdo) 20E34 (14L30)

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MR3108830 Reviewed Fairbairn, Ben; Magaard, Kay; Parker, Christopher Generation of finite quasisimple groups with an application to groups acting on Beauville surfaces. Proc. Lond. Math. Soc. (3) 107 (2013), no. 4, 744–798. (Reviewer: Milagros Izquierdo) 20E34 (14J29 20F05 30F10)

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MR3092687 Reviewed Giudici, Michael; Parker, Chris There is no upper bound for the diameter of the commuting graph of a finite group. J. Combin. Theory Ser. A 120 (2013), no. 7, 1600–1603. (Reviewer: Elena V. Konstantinova) 05C25 (05C12)

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MR3090056 Reviewed Morgan, G. L.; Parker, C. W. The diameter of the commuting graph of a finite group with trivial centre. J. Algebra 393 (2013), 41–59. (Reviewer: Jamshid Moori) 05C25 (20D60)

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MR3081551 Reviewed Parker, Christopher The commuting graph of a soluble group. Bull. Lond. Math. Soc. 45 (2013), no. 4, 839–848. (Reviewer: H. Bechtell) 20D10

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MR3053360 Reviewed Parker, Chris; Stroth, Gernot An identification theorem for the sporadic simple groups F2 and M(23). J. Group Theory 16 (2013), no. 3, 319–352. (Reviewer: Robert A. Wilson) 20D08

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MR3073006 Reviewed Parker, Chris; Stroth, Gernot An identification theorem for groups with socle PSU6(2). J. Aust. Math. Soc. 93 (2012), no. 3, 277–310. (Reviewer: Andrea Previtali) 20D05

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MR3057679 Reviewed Astill, S.; Parker, K.; Valdeker, R. On groups in which the centralizers of the elements of order 5 are 5-groups. (Russian) Sibirsk. Mat. Zh. 53 (2012), no. 5, 967--977; translation in Sib. Math. J. 53 (2012), no. 5, 772–780 (Reviewer: A. A. Makhnev) 20D05

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MR2994630 Reviewed Hoffman, C.; Parker, C. W.; Shpectorov, S. On a class of affine geometries. Adv. Geom. 12 (2012), no. 3, 381–399. (Reviewer: Gόnter F. Steinke) 51A50 (20D08 51E24 51E26 51E30)

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MR2848592 Reviewed Parker, Chris; Stroth, Gernot Strongly p-embedded subgroups. Pure Appl. Math. Q. 7 (2011), no. 3, Special Issue: In honor of Jacques Tits, 797–858. (Reviewer: Ben Fairbairn) 20D30 (20D05 20E07)

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MR2820573 Reviewed Parker, Chris; Tent, Katrin Completely reducible subcomplexes of spherical buildings. Arch. Math. (Basel) 97 (2011), no. 2, 125–128. (Reviewer: Theo Grundhφfer) 51E24

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MR2651936 Reviewed Parker, Christopher; Rowley, Peter A note on conjugacy of supplements in finite soluble groups. Bull. Lond. Math. Soc. 42 (2010), no. 3, 417–419. (Reviewer: Stephanie Reifferscheid) 20D10 (20D40 20E22 20E45)

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MR2659204 Reviewed Parker, Christopher W.; Wilson, Robert A. Recognising simplicity of black-box groups by constructing involutions and their centralisers. J. Algebra 324 (2010), no. 5, 885–915. (Reviewer: Wolfgang Lempken) 20D06 (20-04)

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MR2574854 Reviewed Parker, Christopher; Rowley, Peter A 3-local characterization of Co2. J. Algebra 323 (2010), no. 3, 601–621. (Reviewer: Ronald Solomon) 20D08 (20E34)

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MR2564839 Reviewed Clelland, Murray; Parker, Christopher Two families of exotic fusion systems. J. Algebra 323 (2010), no. 2, 287–304. (Reviewer: Michael J. Cuntz) 20D15 (20E06)

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MR2563586 Reviewed Parker, Chris; Stroth, Gernot On strongly p-embedded subgroups of Lie rank 2. Arch. Math. (Basel) 93 (2009), no. 5, 405–413. (Reviewer: Ulrich Dempwolff) 20D06 (20G40)

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MR2481505 Reviewed Astill, Sarah; Parker, Chris A 3-local characterization of M12 and SL3(3). Arch. Math. (Basel) 92 (2009), no. 2, 99–110. (Reviewer: Andrea Previtali) 20D08

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MR2472136 Reviewed Meierfrankenfeld, Ulrich; Parker, Christopher; Rowley, Peter Isolated subgroups in finite groups. J. Lond. Math. Soc. (2) 79 (2009), no. 1, 107–128. (Reviewer: Gernot Stroth) 20D08

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MR2431506 Reviewed Lempken, Wolfgang; Parker, Christopher; Rowley, Peter (S3,S6)-amalgams. VII. Rend. Semin. Mat. Univ. Padova 119 (2008), 97–139. ISBN: 978-88-7784-291-6 (Reviewer: Gernot Stroth) 20E06

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MR2383065 Reviewed Parker, Christopher; Rowley, Peter A 3-local identification of the alternating group of degree 8, the McLaughlin simple group and their automorphism groups. J. Algebra 319 (2008), no. 4, 1752–1775. (Reviewer: Hiroyoshi Yamaki) 20D08 (20D45)

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MR2378398 Reviewed Lempken, Wolfgang; Parker, Christopher; Rowley, Peter (S3,S6)-amalgams. VI. Rend. Semin. Mat. Univ. Padova 118 (2007), 235–256. ISBN: 978-88-77842-84-8 (Reviewer: Gernot Stroth) 20E06

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MR2351797 Reviewed Lempken, Wolfgang; Parker, Christopher; Rowley, Peter (S3,S6)-amalgams. V. Rend. Semin. Mat. Univ. Padova 117 (2007), 231–256. ISBN: 978-88-7784-278-7 (Reviewer: Gernot Stroth) 20E06

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MR2287455 Reviewed Parker, C. W. Semisymmetric cubic graphs of twice odd order. European J. Combin. 28 (2007), no. 2, 572–591. (Reviewer: Primož Potočnik) 05C25 (20B25)

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MR2287453 Reviewed Korchagina, I. A.; Parker, C. W.; Rowley, P. J. A 3-local characterization of Co3. European J. Combin. 28 (2007), no. 2, 559–566. (Reviewer: Stephen D. Smith) 20D08 (20E25)

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MR2254647 Reviewed Parker, Chris; Saxl, Jan Two maximal subgroups of E8(2). Israel J. Math. 153 (2006), 307–318. (Reviewer: Timothy C. Burness) 20G40 (20G15)

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MR2254646 Reviewed Parker, Chris; Saxl, Jan Localization and finite simple groups. Israel J. Math. 153 (2006), 285–305. 20D08 (20D06)

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MR2251156 Reviewed Parker, Christopher; Rowley, Peter Local characteristic p completions of weak BN-pairs. Proc. London Math. Soc. (3) 93 (2006), no. 2, 325–394. (Reviewer: Gernot Stroth) 20D06 (20D08 20E42)

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MR2228218 Reviewed Parker, Chris A 3-local characterization of U6(2) and Fi22. J. Algebra 300 (2006), no. 2, 707–728. (Reviewer: Bernd Baumann) 20D05

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MR2207858 Reviewed Lempken, Wolfgang; Parker, Christopher; Rowley, Peter (S3,S6)-amalgams. IV. Rend. Sem. Mat. Univ. Padova 114 (2005), 1–19 (2006). (Reviewer: Gernot Stroth) 20E06

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MR2163887 Reviewed Bray, J. N.; Curtis, R. T.; Parker, C. W.; Wiedorn, C. B. Symmetric presentations for the Fischer groups. II. The sporadic groups. Geom. Dedicata 112 (2005), 1–23. (Reviewer: Jamshid Moori) 20D08 (20F05)

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MR2145318 Reviewed Parker, C. W.; Wiedorn, C. B. A 7-local identification of the Monster. Nagoya Math. J. 178 (2005), 129–149. (Reviewer: Mohammad-Reza Darafsheh) 20D08

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MR2134134 Reviewed Parker, C. W.; Rowley, P. J. On commutator subspaces of GF(pa)SL2(pa)-modules. Arch. Math. (Basel) 84 (2005), no. 3, 211–215. (Reviewer: Timothy C. Burness) 20D06

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MR2102638 Reviewed Parker, C. W.; Wiedorn, C. B. A 5-local identification of the Monster. Arch. Math. (Basel) 83 (2004), no. 5, 404–415. (Reviewer: Christopher S. Simons) 20D08

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MR2025331 Reviewed Parker, Christopher; Rowley, Peter A characteristic 5 identification of the Lyons group. J. London Math. Soc. (2) 69 (2004), no. 1, 128–140. (Reviewer: W. M. Kantor) 20D08 (20E06)

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MR2031009 Reviewed Parker, Christopher; Rowley, Peter Subgroup-chain graphs. Graphs Combin. 19 (2003), no. 4, 537–545. 05C75

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MR1994543 Reviewed Parker, Christopher; Quick, Martyn Maximal complements in wreath products. J. Algebra 266 (2003), no. 1, 320–337. (Reviewer: Piroska Lakatos) 20E22 (20F28)

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MR1990832 Reviewed Parker, Christopher; Rφhrle, Gerhard The restriction of minuscule representations to parabolic subgroups. Math. Proc. Cambridge Philos. Soc. 135 (2003), no. 1, 59–79. 20G05

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MR1990284 Reviewed Parker, Christopher; Rowley, Peter Unique node extremal subgroups in Chevalley groups. Comm. Algebra 31 (2003), no. 7, 3471–3486. (Reviewer: Toshiaki Shoji) 20G15 (20G40)

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MR1984905 Reviewed Bray, J. N.; Curtis, R. T.; Parker, C. W.; Wiedorn, C. B. Symmetric presentations for the Fischer groups. I. The classical groups Sp6(2), Sp8(2), and 3O7(3). J. Algebra 265 (2003), no. 1, 171–199. (Reviewer: Jamshid Moori) 20D06 (20F05)

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MR1974077 Reviewed Parker, Ch. W.; Parmeggiani, G.; Stellmacher, B. The P!-theorem. J. Algebra 263 (2003), no. 1, 17–58. (Reviewer: Alberto Delgado) 20D05 (20E25 20E32)

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MR1941914 Reviewed Parker, Christopher; Rowley, Peter Finite completions of the Goldschmidt G3-amalgam and the Mathieu groups. Comm. Algebra 30 (2002), no. 12, 5611–5619. (Reviewer: A. S. Kondratʹev) 20D08 (20E06)

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MR1902987 Reviewed Parker, Christopher; Rowley, Peter Irreducible subgroups of symplectic groups in characteristic 2. J. Aust. Math. Soc. 73 (2002), no. 1, 85–95. (Reviewer: Ulrich Dempwolff) 20D06

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MR1906439 Reviewed Parker, Christopher; Rowley, Peter Symplectic amalgams. Springer Monographs in Mathematics. Springer-Verlag London, Ltd., London, 2002. xii+361 pp. ISBN: 1-85233-430-4 (Reviewer: Gernot Stroth) 20D06 (20D05)

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MR1888009 Reviewed Parker, Christopher Generators and relations for the Lyons sporadic simple group. Arch. Math. (Basel) 78 (2002), no. 2, 97–103. (Reviewer: A. S. Kondratʹev) 20D08 (20F05)

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MR1856537 Reviewed Parker, Christopher; Quick, Martyn Coprime automorphisms and their commutators. J. Algebra 244 (2001), no. 1, 260–272. (Reviewer: Marian Deaconescu) 20D45 (20D15)

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MR1817705 Reviewed Parker, Christopher; Rowley, Peter Completions of Goldschmidt amalgams of type G4 in dimension 3. J. Algebraic Combin. 13 (2001), no. 1, 77–82. 20E06 (05C25 20G40)

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MR1807659 Reviewed Parker, Christopher; Rowley, Peter Sporadic simple groups which are completions of the Goldschmidt G3-amalgam. J. Algebra 235 (2001), no. 1, 131–153. (Reviewer: Robert A. Wilson) 20D08

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MR1794286 Reviewed Parker, Christopher; Rowley, Peter Classical groups in dimension 3 as completions of the Goldschmidt G3-amalgam. J. London Math. Soc. (2) 62 (2000), no. 3, 802–812. (Reviewer: Jόrgen Mόller) 20D06 (20E06)

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MR1781576 Reviewed Parker, Christopher; Rowley, Peter Ω-covers of graphs. Bull. London Math. Soc. 32 (2000), no. 6, 658–662. (Reviewer: Norbert Seifter) 05C70

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MR1743630 Reviewed Bray, John; Parker, Christopher; Rowley, Peter Cayley type graphs and cubic graphs of large girth. Discrete Math. 214 (2000), no. 1-3, 113–121. 05C25

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MR1676656 Reviewed Parker, Christopher; Rowley, Peter Symplectic amalgams and extremal subgroups. Groups St. Andrews 1997 in Bath, II, 596–604, London Math. Soc. Lecture Note Ser., 261, Cambridge Univ. Press, Cambridge, 1999. (Reviewer: N. K. Dickson) 20E06 (20D06 20D08)

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MR1647419 Reviewed Lempken, Wolfgang; Parker, Christopher; Rowley, Peter Minimal parabolic systems for the symmetric and alternating groups. The atlas of finite groups: ten years on (Birmingham, 1995), 149–162, London Math. Soc. Lecture Note Ser., 249, Cambridge Univ. Press, Cambridge, 1998. (Reviewer: Hiroyoshi Yamaki) 20D06 (20B30 20E42)

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MR1629933 Reviewed Parker, Christopher W.; Rowley, Peter J. Extremal subgroups in twisted Lie type groups. J. Reine Angew. Math. 498 (1998), 135–152. (Reviewer: N. K. Dickson) 20D06

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MR1458800 Reviewed Parker, Christopher; Rowley, Peter Amalgams which involve sporadic simple groups. I, II. J. Algebra 193 (1997), no. 2, 441–491, 492–528. (Reviewer: Alberto Delgado) 20D08 (20E32)

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MR1438642 Reviewed Parker, Christopher; Rowley, Peter Extremal subgroups in Chevalley groups. J. London Math. Soc. (2) 55 (1997), no. 2, 387–399. (Reviewer: Naohisa Shimomura) 20G15 (20D06)

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MR1423329 Reviewed Parker, Christopher; Rowley, Peter Quadratic functions and GF(q)-groups. Proc. Amer. Math. Soc. 125 (1997), no. 8, 2227–2237. (Reviewer: Gernot Stroth) 20D15

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MR1382036 Reviewed Parker, Christopher; Rowley, Peter On the non-commuting case for (S3,L3(2))-amalgams. J. Algebra 181 (1996), no. 1, 267–285. (Reviewer: Wolfgang Lempken) 20E06 (20E25)

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MR1368535 Reviewed Parker, Christopher; Rowley, Peter Odd automorphisms of Sylow 2-subgroups of sporadic simple groups. Manuscripta Math. 89 (1996), no. 1, 49–60. (Reviewer: Hiroyoshi Yamaki) 20D08 (20D20 20D45)

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MR1344564 Reviewed Parker, Christopher; Tonchev, Vladimir D. Linear codes and doubly transitive symmetric designs. Linear Algebra Appl. 226/228 (1995), 237–246. (Reviewer: W. M. Kantor) 05B05 (20B25 94B05 94C30)

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MR1341099 Reviewed Lempken, Wolfgang; Parker, Christopher; Rowley, Peter (S3,S6)-amalgams. II, III. Nova J. Algebra Geom. 3 (1995), no. 4, 271–311, 313–356. 20E06

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MR1339229 Reviewed Lempken, Wolfgang; Parker, Christopher; Rowley, Peter (S3,S6)-amalgams. I. Nova J. Algebra Geom. 3 (1995), no. 3, 209–269. 20E06

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MR1337291 Indexed Parker, Christopher; Rowley, Peter Amalgams of minimal local subgroups and sporadic simple groups. Groups '93 Galway/St. Andrews, Vol. 2, 495–506, London Math. Soc. Lecture Note Ser., 212, Cambridge Univ. Press, Cambridge, 1995. 20E06 (20D08)

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MR1284332 Reviewed Lempken, Wolfgang; Parker, Christopher; Rowley, Peter The structure of (S3,S6)-amalgams. I, II. Comm. Algebra 22 (1994), no. 11, 4175–4215, 4217–4301. (Reviewer: Gernot Stroth) 20E06

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MR1280597 Reviewed Parker, Christopher; Spence, Edward; Tonchev, Vladimir D. Designs with the symmetric difference property on 64 points and their groups. J. Combin. Theory Ser. A 67 (1994), no. 1, 23–43. (Reviewer: Dieter Jungnickel) 05B05 (05E20 51E05)

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MR1261257 Reviewed Parker, Christopher On the nonexistence of a class of rank 3 amalgams. Comm. Algebra 22 (1994), no. 4, 1229–1255. (Reviewer: Alberto Delgado) 20F32

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MR1247364 Reviewed Parker, Christopher A classification of amalgams of type (G2(2),Σ3) and (U3(3),Σ3). J. Algebra 161 (1993), no. 2, 406–443. (Reviewer: Alberto Delgado) 20D05 (20E32)

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MR1207734 Reviewed Haemers, Willem H.; Parker, Christopher; Pless, Vera; Tonchev, Vladimir A design and a code invariant under the simple group Co3. J. Combin. Theory Ser. A 62 (1993), no. 2, 225–233. 94B60 (05B05)

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MR1200256 Indexed Lempken, W.; Parker, C.; Rowley, P. (S3,S6)-amalgams. Groups, combinatorics & geometry (Durham, 1990), 139–143, London Math. Soc. Lecture Note Ser., 165, Cambridge Univ. Press, Cambridge, 1992. 20E06

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MR1167078 Reviewed Parker, Christopher Some module results for groups with diagram —===˜ **ARTWORK**. Comm. Algebra 20 (1992), no. 7, 1857–1871. (Reviewer: Gernot Stroth) 20D08 (20E06)

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MR1162489 Reviewed Parker, Christopher Groups containing a subdiagram —===. Proc. London Math. Soc. (3) 65 (1992), no. 1, 85–120. (Reviewer: Jonathan I. Hall) 20D08

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