On the Structure of Witt-Burnside Rings Attached to Pro-p Groups
نویسندگان
چکیده
The p-typical Witt vectors are a ubiquitous object in algebra and number theory. They arise as a functorial construction that takes perfect fields k of prime characteristic p > 0 to p-adically complete discrete valuation rings of characteristic 0 with residue field k and are universal in that sense. A. Dress and C. Siebeneicher generalized this construction by producing a functor WG attached to any profinite group G. The p-typical Witt vectors arise as those attached to the p-adic integers. Here we examine the ring structure of WG(k) for several examples of pro-p groups G and fields k of characteristic p. We will show that the structure is surprisingly more complicated than the p-typical case.
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