Finite Groups of Local Characteristic p

Barbara Baumeister	David Bundy	Andy Chermak
Niels Hebbinghaus	Ulrich Meierfrankenfeld	Mario Mainardis
Chris Parker	Gemma Parmeggiani	Peter Rowley
Bernd Stellmacher	Gernot Stroth

Abstract:

Let G be a finite group and p a prime. G is of characteristic p if C_G(O_p(G)) < O_p(G). G is of local characteristic p if all p-local subgroups of G are of characteristic p. Below are links to various talks, preprints and drafts on the classification of the finite groups of local characteristic p.

Title	Authors	Status
The Structure Theorem	Bernd/Gernot/Ulrich	submitted
The FF-module Theorems and Applications	Bernd/Ulrich	submitted
A characterization of G_2(3)	Gernot/Ulrich	J. Group Theory
Isolated Subgroups in Finite Groups	Chris/Peter/Ulrich	J. London Math. Soc.
F-Stability	Bernd/Ulrich	Trans. Amer. Math. Soc.
Nearly Quadratic Modules	Bernd/Ulrich	J. Algebra
The Fitting Submodule	Bernd/Ulrich	Arch.Math.
The Other P(G,V)-Theorem	Bernd/Ulrich	Rend. Padova
The P! Theorem	Bernd/Chris/Gemma	Journal of Algebra
The local CGT Theorem	Bernd/Dave/Niels	J. Algebra
The P^~! Theorem	Bernd/Gemma/Mario/Ulrich	J. Algebra
An Overview	Bernd,Gernot/Ulrich	Proceed. Durham Conf.
Talks	Ulrich
Generic Groups of p-type	Bernd/Ulrich	Random Results/Draft
The Pushing Up Theorem	Andy/Gemma/Ulrich	Beginning of a Draft
The Rank 2 Case	Andy	Draft
The Big Book of Small Modules	Andy/Barbara/Ulrich	Beginning of a Draft
The Non E-uniqueness Case	Bernd/Gernot/Ulrich	Beginning of a Draft
The Small World Theorem	Bernd//Ulrich	Beginning of a Draft
The b=2 Case	Chris/Peter//Ulrich	Beginning of a Draft