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arXiv · 1304.2544

On extensions for Ree groups of type F_4

David I. Stewart
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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.

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David I. Stewart. 2013-04-09. On extensions for Ree groups of type F_4. https://arxiv.org/abs/1304.2544

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