A Witt-Burnside ring attached to a pro-dihedral group
Commutative Algebra
2012-10-15 v2 Number Theory
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.
Cite
@article{arxiv.1111.2538,
title = {A Witt-Burnside ring attached to a pro-dihedral group},
author = {Lance Edward Miller},
journal= {arXiv preprint arXiv:1111.2538},
year = {2012}
}
Comments
13 pages, 1 figure