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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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DOI: https://doi.org/10.1090/S0002-9947-1981-0628457-4
Keywords: Cohomology of algebraic groups, finite groups of Lie type
Article copyright: © Copyright 1981 American Mathematical Society