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Complete reducibility and Steinberg endomorphisms

Published 27 Dec 2010 in math.GR | (1012.5628v1)

Abstract: Let G be a connected reductive algebraic group defined over an algebraically closed field of positive characteristic. We study a generalization of the notion of G-complete reducibility in the context of Steinberg endomorphisms of G. Our main theorem extends a special case of a rationality result in this setting.

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