Brauer relations in finite groups II - quasi-elementary groups of order p^aq

Details Brauer relations in finite groups II - quasi-elementary groups of order p^aq Brauer relations in finite groups II - quasi-elementary groups of order p^aq

2011-10-30

arxiv.org/abs/1110.6618v1

Mathematics

Representation Theory

11 pages

Scientific paper

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 do this for quasi-elementary groups of order p^aq.

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