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  • 1 Central European University Department of Mathematics Nádor utca 9 Budapest 1051 Hungary
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In this paper we analyse the natural permutation module of an affine permutation group. For this the regular module of an elementary Abelian p-group is described in detail. We consider the inequivalent permutation modules coming from nonconjugate complements. We prove their strong structural similarity well exceeding the fact that they have equal Brauer characters.

  • Benson, D. J., Representations and cohomology. I. Basic representation theory of finite groups and associative algebras. (Cambridge Studies in Advanced Mathematics, 30.) Cambridge University Press, Cambridge, 1991.

    Benson D. J. , '', in Representations and cohomology. I. Basic representation theory of finite groups and associative algebras , (1991 ) -.