Brauer relations in finite groups

A Bartel, Tim Dokchitser

Research output: Contribution to journalArticle (Academic Journal)peer-review

5 Citations (Scopus)
312 Downloads (Pure)

Abstract

If G is a non-cyclic finite group, non-isomorphic G-sets X, Y may give rise to isomorphic permutation representations C[X] and C[Y]. Equivalently, the map from the Burnside ring to the representation ring of G has a kernel. Its elements are called Brauer relations, and the purpose of this paper is to classify them in all finite groups, extending the Tornehave-Bouc classification in the case of p-groups.
Translated title of the contributionBrauer relations in finite groups
Original languageEnglish
Pages (from-to)2473-2512
Number of pages40
JournalJournal of the European Mathematical Society
Volume17
Issue number10
Early online date28 Oct 2013
DOIs
Publication statusPublished - Oct 2015

Keywords

  • math.RT RepresentationTheory (math.GR Group Theory)

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