P. Flavell

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math.GR2026

Notes on $K^{\infty}$

Paul Flavell

Glauberman's characteristic $p$ -functor $K^{\infty}$ has a number of remarkable properties. For example it controls $p$ -transfer in any finite group provided $p \geq 5$ . These note…

math.GR2026

On a theorem of Dickson

Paul Flavell

We present a new proof of the theorem of Dickson that gives generators for the groups $S L_{2} (q)$ where $q$ is an odd prime power.

math.GR2026

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 $Z J$ -Theorem. Let $p$ be an odd prime and $S \neq = 1$ a $p$ -group. T…

math.GR2026

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…

math.GR2009

Characterizations of the Solvable Radical

Paul Flavell, Simon Guest, Robert Guralnick

We prove that there exists a constant $k$ with the property: if $\calC$ is a conjugacy class of a finite group $G$ such that every $k$ elements of $\calC$\ generate a solvable subg…

Notes on K∞

On a theorem of Dickson

On the Glauberman-Solomon Theorem

On the finite subgroups of the 2-dimensional general linear groups

Characterizations of the Solvable Radical

Notes on $K^{\infty}$