English

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 qq, a divisible subgroup TT in the multiplicative group of complex numbers is realizable as the Brauer group of such a quasilocal field of residual characteristic qq unless q=2q = 2 and the 22-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

R2 v1 2026-06-21T16:42:23.340Z