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Publication Date:
June 2011
ISSN:
1435-4446
DOI:
10.1515/jgt.2010.071

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Journal of Group Theory

Editor-in-Chief: Wilson, John S.

Managing Editor: Howie, James / Kramer, Linus / Parker, Christopher W.

Editorial Board Member: Abért, Miklós / Borovik, Alexandre V. / Boston, Nigel / Bridson, Martin R. / Caprace, Pierre-Emmanuel / Giovanni, Francesco / Guralnick, Robert / Jaikin Zapirain, Andrei / Kessar, Radha / Khukhro, Evgenii I. / Kochloukova, Dessislava H. / Malle, Gunter / Olshanskii, Alexander / Remy, Bertrand / Robinson, Derek J.S. / Willis, George

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Maximal representation dimension of finite p-groups

1 / 1 / 1

1Department of Mathematics, University of British Columbia, Vancouver, BC V6T 1Z2, Canada

Citation Information: Journal of Group Theory. Volume 14, Issue 4, Pages 637–647, ISSN (Online) 1435-4446, ISSN (Print) 1433-5883, DOI: 10.1515/jgt.2010.071, June 2011

Publication History:
Received:
2009-11-04
Revised:
2010-09-14
Published Online:
2011-06-28

Abstract

The representation dimension rdim(G) of a finite group G is the smallest positive integer m for which there exists an embedding of G in GLm(ℂ). In this paper we find the largest value of rdim(G), as G ranges over all groups of order pn, for a fixed prime p and a fixed exponent n ⩾ 1.

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