Paul Flavell is Professor of Pure Mathematics and Head of
the School of Mathematics at the University of Birmingham.
These pages contain information about his research and
teaching.
Here
are some notes on transfer and fusion in finite groups. They are intended to be
accessible by anyone who has understood a third year group theory course from a
British university. As well as introducing a number of basic group theoretic
ideas, they begin to give the reader an understanding of why fusion is
important in group theory. Consequently, they may be helpful to students
attending the Short Course
on Fusion Systems. There are numerous exercises.
Transfer
and fusion in finite groups
A Hall-Higman-Shult type theorem for
arbitrary finite groups
Invent. Math. 164 (2006) 361-397.
An equivariant analogue of Glauberman's
ZJ-Theorem
J. Algebra 257 (2002), no. 2, 249-264.
On
the Fitting height of a soluble group that is generated by a conjugacy class
J. London Math. Soc. (2) 66 (2002), no.1, 101-113.
Finite groups in which every two elements generate a soluble subgroup
Invent. Math. 121
(1995), no. 2, 279--285.