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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 
 

 

Generic cohomology for twisted groups


Author: George S. Avrunin
Journal: Trans. Amer. Math. Soc. 268 (1981), 247-253
MSC: Primary 20G10; Secondary 20G40, 20J10
DOI: https://doi.org/10.1090/S0002-9947-1981-0628457-4
MathSciNet review: 628457
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Abstract: Let $G$ be a simple algebraic group defined and split over ${k_0} = {{\mathbf {F}}_p}$, and let $\sigma$ be a surjective endomorphism of $G$ with finite fixed-point set ${G_\sigma }$. We give conditions under which cohomology groups of $G$ are isomorphic to cohomology groups of ${G_\sigma }$.


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Keywords: Cohomology of algebraic groups, finite groups of Lie type
Article copyright: © Copyright 1981 American Mathematical Society