# Cokernels of homomorphisms from burnside rings to inverse limits

Masaharu Morimoto

Research output: Contribution to journalArticlepeer-review

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 language English 165-172 8 Canadian Mathematical Bulletin 60 1 https://doi.org/10.4153/CMB-2016-068-6 Published - Mar 2017

## ASJC Scopus subject areas

• Mathematics(all)