Let b G be the Burnside ring of a finite group G and let k be a field of prime characteristic. It is the purpose of this paper to give a characterization of whether a Ž . block of k m b G is a symmetric k-algebra. This proves a blockwise version of a ޚ Ž . Ž corresponding result about k m b G by W
On the spectrum of the burnside ring
✍ Scribed by Roland Schwänzl
- Publisher
- Elsevier Science
- Year
- 1979
- Tongue
- English
- Weight
- 460 KB
- Volume
- 15
- Category
- Article
- ISSN
- 0022-4049
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📜 SIMILAR VOLUMES
Let G be a finite group and S a finite G-monoid. A crossed G-set over S is a finite G-set equipped with a G-map into S called a weight function. A crossed Ž . Burnside ring X ⍀ G, S is the Grothendieck ring of the category of crossed G-sets with respect to disjoint unions and tensor products. In thi
We determine the number of blocks of the generalized Burnside ring of the symmetric group S with respect to the Young subgroups of S over a field of n n characteristic p. Let kS be a group algebra of S over a field k of characteristic n n Ž . p ) 0 and R R kS the Grothendieck ring of kS over p-local