On Henselian valuations and Brauer groups of primarily quasilocal fields

Details On Henselian valuations and Brauer groups of primarily quasilocal fields On Henselian valuations and Brauer groups of primarily quasilocal fields

2011-05-04

arxiv.org/abs/1105.0962v1

Mathematics

Rings and Algebras

To appear in the Proceedings of the International Conference and Humboldt Kolleg dedicated to Serban Basarab and on the occasi

Scientific paper

This paper finds a classification, up-to an isomorphism, of abelian torsion groups realizable as Brauer groups of major types of Henselian valued primarily quasilocal fields with totally indivisible value groups. When $E$ is a quasilocal field with such a valuation, it shows that the Brauer group of $E$ is divisible and embeddable in the quotient group of the additive group of rational numbers by the subgroup of integers.

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