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

Bartel, A. and Dokchitser, T. (2014) Brauer relations in finite groups II: quasi-elementary groups of order paq. Journal of Group Theory, 17(3), pp. 381-393. (doi: 10.1515/jgt-2013-0044)

Abstract

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.

• Item Type: Articles
• Status: Published
• Refereed: Yes
• Glasgow Author(s) Enlighten ID: Bartel, Professor Alex
• Authors: Bartel, A., and Dokchitser, T.
• College/School: College of Science and Engineering > School of Mathematics and Statistics > Mathematics
• Journal Name: Journal of Group Theory
• Publisher: De Gruyter
• ISSN: 1433-5883
• ISSN (Online): 1435-4446
• Published Online: 01 October 2013
• Copyright Holders: Copyright © 2014 Walter de Gruyter
• First Published: First published in Journal of Group Theory 17(3): 381-393
• Publisher Policy: Reproduced in accordance with the publisher copyright policy