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Brauer relations in finite groups II : quasi-elementary groups of order paq
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Bartel, Alex and Dokchitser, Tim (2014) Brauer relations in finite groups II : quasi-elementary groups of order paq. Journal of Group Theory, 17 (3). doi:10.1515/jgt-2013-0044
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Official URL: http://dx.doi.org/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: | Journal Article | ||||||||
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| Subjects: | Q Science > QA Mathematics | ||||||||
| Divisions: | Faculty of Science > Mathematics | ||||||||
| Library of Congress Subject Headings (LCSH): | Brauer groups, Burnside problem, Finite groups, Group theory -- Generators | ||||||||
| Journal or Publication Title: | Journal of Group Theory | ||||||||
| Publisher: | Walter de Gruyter GmbH | ||||||||
| ISSN: | 1433-5883 | ||||||||
| Official Date: | May 2014 | ||||||||
| Dates: |
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| Volume: | 17 | ||||||||
| Number: | 3 | ||||||||
| DOI: | 10.1515/jgt-2013-0044 | ||||||||
| Status: | Peer Reviewed | ||||||||
| Publication Status: | Published | ||||||||
| Access rights to Published version: | Open Access |
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