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arXiv · 1111.2538

A Witt-Burnside ring attached to a pro-dihedral group

Lance Edward Miller
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Abstract

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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Lance Edward Miller. 2012-10-12. A Witt-Burnside ring attached to a pro-dihedral group. https://arxiv.org/abs/1111.2538

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