On local categories of finite groups

Fei Xu

Research output: Contribution to journalArticleResearchpeer-review

5 Citations (Scopus)

Abstract

Let G be a finite group. Over any finite G-poset 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. © 2011 Springer-Verlag.
Original languageEnglish
Pages (from-to)1023-1036
JournalMathematische Zeitschrift
Volume272
Issue number3-4
DOIs
Publication statusPublished - 1 Jan 2012

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