The slice Burnside ring and the section Burnside ring of a finite group

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The slice Burnside ring and the section Burnside ring of a finite group

This paper introduces two new Burnside rings for a finite group G, called the slice Burnside ring and the section Burnside ring. They are built as Grothendieck rings of the category of morphisms of G-sets, and of Galois morphisms of G-sets, respectively. The well known results on the usual Burnside ring, concerning ghost maps, primitive idempotents, and description of the prime spectrum, are ex...

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ژورنال

عنوان ژورنال: Compositio Mathematica

سال: 2012

ISSN: 0010-437X,1570-5846

DOI: 10.1112/s0010437x11007500