Direct limits and inverse limits of Mackey functors

Let G be a finite group, S the subgroup category of G, and M a Mackey functor on G. For full subcategories G and H of S, we have the direct limit M⁎(G) and the inverse limit M⁎(H) of M. In this paper we study relation between the canonical homomorphisms ind:M⁎(G)→M(G) and res:M(G)→M⁎(H).

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Bibliographic Details
Published inJournal of algebra Vol. 470; pp. 68 - 76
Main Author Morimoto, Masaharu
Format Journal Article
LanguageEnglish
Published Elsevier Inc 15.01.2017
Subjects
Burnside ring
Green ring functor
Mackey functor
secondary
Mackey functor
Burnside ring
Green ring functor
primary
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Summary:Let G be a finite group, S the subgroup category of G, and M a Mackey functor on G. For full subcategories G and H of S, we have the direct limit M⁎(G) and the inverse limit M⁎(H) of M. In this paper we study relation between the canonical homomorphisms ind:M⁎(G)→M(G) and res:M(G)→M⁎(H).
ISSN:0021-8693
1090-266X
DOI:10.1016/j.jalgebra.2016.09.002