Galois module structure of Milnor K-theory mod p^s in characteristic p
Number Theory
2008-06-26 v2 K-Theory and Homology
Representation Theory
Abstract
Let E be a cyclic extension of pth-power degree of a field F of characteristic p. For all m, s in N, we determine K_mE/p^sK_mE as a (Z/p^sZ)[Gal(E/F)]-module. We also provide examples of extensions for which all of the possible nonzero summands in the decomposition are indeed nonzero.
Cite
@article{arxiv.math/0602546,
title = {Galois module structure of Milnor K-theory mod p^s in characteristic p},
author = {Jan Minac and Andrew Schultz and John Swallow},
journal= {arXiv preprint arXiv:math/0602546},
year = {2008}
}
Comments
v2 (11 pages): minor corrections made