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Journal of Group Theory

Editor-in-Chief: Parker, Christopher W.

Managing Editor: Wilson, John S. / Khukhro, Evgenii I. / Kramer, Linus

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Volume 17, Issue 3


Brauer relations in finite groups II: Quasi-elementary groups of order paq

Alex Bartel / Tim Dokchitser
Published Online: 2013-10-01 | DOI: https://doi.org/10.1515/jgt-2013-0044


This is the second in a series of papers investigating the space of Brauer relations of a finite group, the kernel of the natural map from its Burnside ring to the rational representation ring. The first paper classified all primitive Brauer relations, that is those that do not come from proper subquotients. In the case of quasi-elementary groups the description is intricate, and it does not specify groups that have primitive relations in terms of generators and relations. In this paper we provide such a classification in terms of generators and relations for quasi-elementary groups of order paq.

About the article

Received: 2011-12-01

Revised: 2012-11-25

Published Online: 2013-10-01

Published in Print: 2014-05-01

Funding Source: EPSRC

Funding Source: Royal Commission for the Exhibition of 1851

Award identifier / Grant number: Research Fellowship

Funding Source: Royal Society University

Award identifier / Grant number: Research Fellowship

Funding Source: St Johns College in Cambridge

Funding Source: Robinson College in Cambridge

Funding Source: DPMMS in Cambridge

Funding Source: CRM in Barcelona

Funding Source: Postech University in Pohang

Citation Information: Journal of Group Theory, Volume 17, Issue 3, Pages 381–393, ISSN (Online) 1435-4446, ISSN (Print) 1433-5883, DOI: https://doi.org/10.1515/jgt-2013-0044.

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