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Strong quadratic modules

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Abstract

For a Chevalley groupG over a field of characteristic 2 we determine all irreducible modulesV overGF(2) such that [V, R, Q]=0, whereR is a long root group andQ=Z 2(O 2(N G(R))). As a corollary we obtain a classification of those irreducible modules admitting a quadratic fours groupE which intersect a long root group nontrivially but is not contained in such a group.

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Authors and Affiliations

  1. 2. Mathematisches Institut, Freie Universität Berlin, Arnimalee 3, 1000, Berlin 33, Germany

    G. Stroth

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  1. G. Stroth
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Stroth, G. Strong quadratic modules. Israel J. Math. 79, 257–279 (1992). https://doi.org/10.1007/BF02808219

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  • DOI: https://doi.org/10.1007/BF02808219

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