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On local categories of finite groups

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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.

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Authors and Affiliations

  1. Departament de Matemàtiques, Universitat Autònoma de Barcelona, 08193, Bellaterra, Spain

    Fei Xu

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  1. Fei Xu
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Correspondence to Fei Xu.

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The author (徐斐) was supported in part by a Beatriu de Pinós research fellowship from the government of Catalonia of Spain, and a Grant MTM2010-20692 “Analisis local en grupos y espacios topologicos” from the Ministry of Science and Innovation of Spain.

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Xu, F. On local categories of finite groups. Math. Z. 272, 1023–1036 (2012). https://doi.org/10.1007/s00209-011-0971-y

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  • DOI: https://doi.org/10.1007/s00209-011-0971-y

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