1 citations · 2 across the 10 of their papers we have counts for
10 papers
Notes on
Paul Flavell
Glauberman's characteristic -functor has a number of remarkable properties. For example it controls -transfer in any finite group provided . These note…
On a theorem of Dickson
Paul Flavell
We present a new proof of the theorem of Dickson that gives generators for the groups where is an odd prime power.
On the Glauberman-Solomon Theorem
Paul Flavell
We give a self contained and concise proof of the following result, which was first proved by Glauberman as his -Theorem. Let be an odd prime and a -group. T…
On the finite subgroups of the 2-dimensional general linear groups
Paul Flavell
We give another proof of the classic result of Dickson that determines the finite subgroups of 2-dimensional projective general linear groups. In fact we go a little further and gi…
A new proof of the Nonsolvable Signalizer Functor Theorem
Paul Flavell
The Signalizer Functor Method as developed by Gorenstein and Walter played a fundamental role in the first proof of the Classification of the Finite Simple Groups. It plays a simil…
A characterisation of A-simple groups
Paul Flavell
Let be an elementary abelian -group with rank at least that acts faithfully on the finite -group . Assume that is -simple, so that $G = K_{1} \times\cdots\…
Primitive pairs of K-groups
Paul Flavell
In 'Primitive pairs of -solvable groups', J. Algebra 324 (2010) 841-859, the author proved a non existence theorem for certain types of amalgams of -solvable groups in the pr…
Automorphisms of K-groups II
Paul Flavell
This work is a continuation of Automorphisms of -groups I, P. Flavell, preprint. The main object of study is a finite -group that admits an elementary abelian group a…
Automorphisms of K-groups I
Paul Flavell
This is the first in a sequence of papers that will develop the theory of automorphisms of nonsolvable finite groups. The sequence will culminate in a new proof of McBride's Nonsol…
Characterizations of the Solvable Radical
Paul Flavell, Simon Guest, Robert Guralnick
We prove that there exists a constant with the property: if $\calC$ is a conjugacy class of a finite group such that every elements of $\calC$\ generate a solvable subg…