Jtdylktuy

up vote 6 down vote favorite I would like to see explicit computations of the Burnside ring $A(G)$ when $G$ is a small Abelian group, such as $G=mathbb{Z}/2,mathbb{Z}/2^n,mathbb{Z}/p^n$ where $p$ is an odd prime and $ngeqslant 1$ . Here, by explicit I mean in terms of generators and relations. I know that there there is a certain map with finite cokernel. But, I don't see any generators in these descriptions. Surely, for something like $mathbb{Z}/2$ it must be well known! I would be very grateful for any reference. Here, $mathbb{Z}/k$ is the cyclic group of order $k$ . I particular, I wonder if there is a ``canonical'' presentation of this ring?!? I would be very grateful for any references. reference-request at.algebraic-topology gr.group-theory finite-groups