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Representations and Maximal Subgroups of Finite Groups of Lie Type

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Geometries and Groups
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Abstract

Let σ be an endomorphism of a simple, simply connected, algebraic group $$\[\bar G\]$$ over K, where K is the algebraic closure of Fp, and assume the fixed point group G = $$ {\text{G = }}{\overline {\text{G}} _{\sigma }} $$ is finite and quasisimple. Write G = G(q), with q = pa and let V be an irreducible, but not necessarily absolutely irreducible, kG-module, where k denotes K or a finite subfield of K.

Research supported in part by N.S.F. grant DMS-8318037

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© 1988 D. Reidel Publishing Company, Dordrecht, Holland

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Seitz, G.M. (1988). Representations and Maximal Subgroups of Finite Groups of Lie Type. In: Aschbacher, M., Cohen, A.M., Kantor, W.M. (eds) Geometries and Groups. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-4017-8_13

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  • DOI: https://doi.org/10.1007/978-94-009-4017-8_13

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-8282-2

  • Online ISBN: 978-94-009-4017-8

  • eBook Packages: Springer Book Archive

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