Notes on the filtration of the K-theory for abelian p-groups

Let p be a prime number. For a given finite group G, let gr^*_γ(BG) be the associated ring of the gamma filtration of the topological K-theory for the classifying space BG. In this paper, we study gr^*_γ(BG) when G are abelian p-groups which are not elementary. In particular, we extend related Chetard’s results for such 2-groups to p-groups for odd p.

Mathematics Subject Classification. Primary 57T15; Secondary 20G15.