Henselian valued quasilocal fields with totally indivisible value groups, II
Rings and Algebras
2014-12-12 v4
Abstract
This paper characterizes the quasilocal fields from the class of Henselian valued fields with totally indivisible value groups, which possess finite separable extensions of nontrivial defect. We show that, for any prime number , a divisible subgroup in the multiplicative group of complex numbers is realizable as the Brauer group of such a quasilocal field of residual characteristic unless and the -component of T$ is trivial.
Keywords
Cite
@article{arxiv.1011.2661,
title = {Henselian valued quasilocal fields with totally indivisible value groups, II},
author = {I. D. Chipchakov},
journal= {arXiv preprint arXiv:1011.2661},
year = {2014}
}
Comments
18 pages, Theorem 1.2, the main result of the paper, is complemented by Propositions 5.1 and 5.2