A Witt-Burnside ring attached to a non-abelian pro-2 group

Details A Witt-Burnside ring attached to a non-abelian pro-2 group A Witt-Burnside ring attached to a non-abelian pro-2 group

2011-11-10

arxiv.org/abs/1111.2538v1

Mathematics

Commutative Algebra

13 pages, 1 figure

Scientific paper

The ring of classic Witt vectors is a fundamental object in mixed characteristic commutative algebra which has many applications in number theory. There is a significant generalization due to Dress and Siebeneicher which for any profinite group G produces a ring valued functor W_G, where the classic Witt vectors are recovered as the example G = Z_p. This article explores the structure of the image of this functor where G is the pro-2 group formed by taking the inverse limit of 2-power dihedral groups, and the image of W_G is taken on a field of characteristic 2.

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