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Augmentation modules for affine groups

Published online by Cambridge University Press:  26 March 2001

CHRISTOPHER J. B. BROOKES  and
DAVID M. EVANS
CHRISTOPHER J. B. BROOKES
Affiliation:
Corpus Christi College, Cambridge CB2 1RH; e-mail: [email protected]
DAVID M. EVANS
Affiliation:
School of Mathematics, University of East Anglia, Norwich NR4 7TJ; e-mail: [email protected]
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Abstract

We prove that if k, F are fields of different characteristics then the permutation module kFn for the affine group AGL(n, F) has simple augmentation submodule. This proves a conjecture of A. R. Camina.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 130 , Issue 2 , March 2001 , pp. 287 - 294
Copyright
2001 Cambridge Philosophical Society

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