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- Title
On local categories of finite groups.
- Authors
Xu, Fei
- Abstract
Let G be a finite group. Over any finite G-poset $${\mathcal{P}}$$ we may define a transporter category as the corresponding Grothendieck construction. Transporter categories are generalizations of subgroups of G, and we shall demonstrate the finite generation of their cohomology. We record a generalized Frobenius reciprocity and use it to examine some important quotient categories of transporter categories, customarily called local categories.
- Subjects
FINITE groups; GROTHENDIECK categories; COHOMOLOGY theory; GROTHENDIECK groups; FC-groups; GROUP theory
- Publication
Mathematische Zeitschrift, 2012, Vol 272, Issue 3/4, p1023
- ISSN
0025-5874
- Publication type
Article
- DOI
10.1007/s00209-011-0971-y