for spurring me to write these observations, and I thank Halvard Fausk and Gaunce Lewis for careful readings of several drafts and many helpful comments. I thank Madhav Nori and Hyman Bass for help with the ring theory examples and Peter Freyd, Michael Boardman, and Neil Strickland for facts about c
Isomorphic Burnside rings
โ Scribed by Satya Deo; K Varadarajan
- Publisher
- Elsevier Science
- Year
- 1991
- Tongue
- English
- Weight
- 822 KB
- Volume
- 139
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
๐ 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 ลฝ . Burnside ring X โ G, S is the Grothendieck ring of the category of crossed G-sets with respect to disjoint unions and tensor products. In thi
We show that for each finite cohomological Mackey functor on a finite group G there exist explicit relations in the category of finite abelian groups between the evaluations of the Mackey functor at all the subgroups, one for each conjugacy class of nonhypo-elementary subgroups of G. Furthermore, we