Henselian valued quasilocal fields with totally indivisible value groups, II

Details Henselian valued quasilocal fields with totally indivisible value groups, II Henselian valued quasilocal fields with totally indivisible value groups, II

2010-11-11

arxiv.org/abs/1011.2661v3

Mathematics

Rings and Algebras

10 pages, a proof of Theorem 1.1 is included

Scientific paper

This paper characterizes the quasilocal fields from the class of Henselian valued fields with totally indivisible value groups, over which there exist finite separable extensions of nontrivial defect. We show that every nontrivial divisible subgroup of the quotient group $\mathbb Q/\mathbb Z$ of the additive group of rational numbers by the subgroup of integers is realizable as a Brauer group of such a quasilocal field.

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