### 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 |
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Pages (from-to) | 165-172 |

Number of pages | 8 |

Journal | Canadian Mathematical Bulletin |

Volume | 60 |

Issue number | 1 |

DOIs | |

Publication status | Published - Mar 1 2017 |

### ASJC Scopus subject areas

- Mathematics(all)

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## Cite this

Morimoto, M. (2017). Cokernels of homomorphisms from burnside rings to inverse limits.

*Canadian Mathematical Bulletin*,*60*(1), 165-172. https://doi.org/10.4153/CMB-2016-068-6