On extensions for Ree groups of type F_4
Group Theory
2013-04-10 v1 Representation Theory
Abstract
Let k be an algebraically closed field of characteristic p=2. Let G=F_4 be simply connected over k and let \sigma:G\to G be an endomorphism such that the fixed point set G(\sigma) is a Ree group. We show, using the methods of Bendel--Nakano--Pillen, that self-extensions of simple kG(\sigma)-modules vanish generically and that for all but the first few Ree groups of type F_4, the 1-cohomology for G(\sigma) with coefficients in simple kG-modules can be identified with the 1-cohomology for G with coefficients in (possibly different) simple G-modules.
Cite
@article{arxiv.1304.2544,
title = {On extensions for Ree groups of type F_4},
author = {David I. Stewart},
journal= {arXiv preprint arXiv:1304.2544},
year = {2013}
}
Comments
6 pages; fills a hole in another paper