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Publication Date:
June 2007
ISSN:
1435-4446
DOI:
10.1515/JGT.2007.025

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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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On the commuting complex of finite metanilpotent groups

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Citation Information: Journal of Group Theory. Volume 10, Issue 3, Pages 307–319, ISSN (Online) 1435-4446, ISSN (Print) 1433-5883, DOI: 10.1515/JGT.2007.025, June 2007

Publication History:
Received:
2005-09-12
Revised:
2006-07-31
Published Online:
2007-06-18

Abstract

We study the commuting complex associated to the set of all non-trivial elements of a finite group. In particular we treat the case of metanilpotent groups, proving a wedgedecomposition formula for this simplicial complex and necessary and sufficient conditions for its contractibility.

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