Cokernels of homomorphisms from burnside rings to inverse limits

Masaharu Morimoto

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

Let G be a finite group and let A(G) denote the Burnside ring of G. Then an inverse limit L(G) of the groups A(H) for proper subgroups H of G and a homomorphism res from A(G) to L(G) are obtained in a natural way. Let Q(G) denote the cokernel of res. For a prime p, let N(p) be the minimal normal subgroup of G such that the order of G/N(p) is a power of p, possibly 1. In this paper we prove that Q(G) is isomorphic to the cartesian product of the groups Q(G/N(p)), where p ranges over the primes dividing the order of G.

Original languageEnglish
Pages (from-to)165-172
Number of pages8
JournalCanadian Mathematical Bulletin
Volume60
Issue number1
DOIs
Publication statusPublished - Mar 1 2017

ASJC Scopus subject areas

  • Mathematics(all)

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