Geodesic
Cokernels of Homomorphisms from Burnside Rings to Inverse Limits
Canadian mathematical bulletin, Tome 60 (2017) no. 1, pp. 165-172

Voir la notice de l'article provenant de la source Cambridge University Press

Let $G$ be a finite group and let $A\left( G \right)$ denote the Burnside ring of $G$ . Then an inverse limit $L\left( G \right)$ of the groups $A\left( H \right)$ for proper subgroups $H$ of $G$ and a homomorphism res from $A\left( G \right)$ to $L\left( G \right)$ are obtained in a natural way. Let $Q\left( G \right)$ denote the cokernel of res. For a prime $p$ , let $N\left( p \right)$ be the minimal normal subgroup of $G$ such that the order of ${G}/{N}\;\left( p \right)$ is a power of $p$ , possibly 1. In this paper we prove that $Q\left( G \right)$ is isomorphic to the cartesian product of the groups $Q\left( {G}/{N\left( p \right)}\; \right)$ , where $p$ ranges over the primes dividing the order of $G$ .
DOI : 10.4153/CMB-2016-068-6
Mots-clés : 19A22, 57S17, Burnside ring, inverse limit, finite group 
Morimoto, Masaharu. Cokernels of Homomorphisms from Burnside Rings to Inverse Limits. Canadian mathematical bulletin, Tome 60 (2017) no. 1, pp. 165-172. doi: 10.4153/CMB-2016-068-6
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