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)
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)
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)
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)
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
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)
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)
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)
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)
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
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
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
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
MR2994630 Reviewed
Hoffman,
C.; Parker,
C. W.; Shpectorov,
S. On a class of affine geometries. Adv.
Geom. 12
(2012),
no.
3, 381–399. (Reviewer: Günter F. Steinke) 51A50
(20D08 51E24 51E26 51E30)
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)
MR2820573 Reviewed
Parker,
Chris; Tent,
Katrin Completely reducible subcomplexes of spherical buildings. Arch.
Math. (Basel) 97
(2011),
no.
2, 125–128. (Reviewer: Theo Grundhöfer) 51E24
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)
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)
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)
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)
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)
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
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
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
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)
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
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
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)
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)
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)
MR2254646 Reviewed
Parker,
Chris; Saxl,
Jan Localization and finite simple groups. Israel
J. Math. 153
(2006),
285–305. 20D08
(20D06)
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)
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
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
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)
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
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
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
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)
MR2031009 Reviewed
Parker,
Christopher; Rowley,
Peter Subgroup-chain graphs. Graphs
Combin. 19
(2003),
no.
4, 537–545. 05C75
MR1994543 Reviewed
Parker,
Christopher; Quick,
Martyn Maximal complements in wreath products. J.
Algebra 266
(2003),
no.
1, 320–337. (Reviewer: Piroska Lakatos) 20E22
(20F28)
MR1990832 Reviewed
Parker,
Christopher; Röhrle,
Gerhard The restriction of minuscule representations to parabolic
subgroups. Math.
Proc. Cambridge Philos. Soc. 135
(2003),
no.
1, 59–79. 20G05
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)
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 3⋅O7(3). J.
Algebra 265
(2003),
no.
1, 171–199. (Reviewer: Jamshid Moori) 20D06
(20F05)
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)
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)
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
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)
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)
MR1856537 Reviewed
Parker,
Christopher; Quick,
Martyn Coprime automorphisms and their commutators. J.
Algebra 244
(2001),
no.
1, 260–272. (Reviewer: Marian Deaconescu) 20D45
(20D15)
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)
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
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: Jürgen Müller) 20D06
(20E06)
MR1781576 Reviewed
Parker,
Christopher; Rowley,
Peter Ω-covers of graphs. Bull.
London Math. Soc. 32
(2000),
no.
6, 658–662. (Reviewer: Norbert Seifter) 05C70
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
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)
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)
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
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)
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)
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
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)
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)
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)
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
MR1339229 Reviewed
Lempken,
Wolfgang; Parker,
Christopher; Rowley,
Peter (S3,S6)-amalgams. I. Nova
J. Algebra Geom. 3
(1995),
no.
3, 209–269. 20E06
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)
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
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)
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
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)
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)
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
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)
MR1162489 Reviewed
Parker,
Christopher Groups containing a subdiagram ∘—∘===∼∘. Proc.
London Math. Soc. (3) 65
(1992),
no.
1, 85–120. (Reviewer: Jonathan I. Hall) 20D08