The complements in an affine group

Pál Hegedűs

doi:10.1556/sscmath.50.2013.2.1239

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Studia Scientiarum Mathematicarum Hungarica

Volume/Issue:: Volume 50: Issue 2

The complements in an affine group

Author:

Pál Hegedűs

Pál Hegedűs Central European University Department of Mathematics Nádor utca 9 Budapest 1051 Hungary

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Pages:: 258–265

Online Publication Date:: 20 Jun 2013

Publication Date:: 01 Jun 2013

Article Category:: Journal Article

DOI:: https://doi.org/10.1556/sscmath.50.2013.2.1239

Keywords:: Primary 20C20.; Affine group; modular permutation module

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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.

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Studia Scientiarum Mathematicarum Hungarica

Print ISSN:: 0081-6906

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Zoltán SZABÓ (Princeton University)
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Studia Scientiarum Mathematicarum Hungarica
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