Cokernels of homomorphisms from burnside rings to inverse limits

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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

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Burnside Ring
Inverse Limit
Homomorphisms
Denote
Cartesian product
Normal subgroup
Homomorphism
Finite Group
Isomorphic
Subgroup
Range of data

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Cokernels of homomorphisms from burnside rings to inverse limits. / Morimoto, Masaharu.

In: Canadian Mathematical Bulletin, Vol. 60, No. 1, 01.03.2017, p. 165-172.

Research output: Contribution to journalArticle

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