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On Henselian valuations and Brauer groups of primarily quasilocal fields

By Ivan Chipchakov

Abstract

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.Comment: To appear in the Proceedings of the International Conference and Humboldt Kolleg dedicated to Serban Basarab and on the occasion of his 70-th birthday, Constanta, Romania, April 14-18, 201

Topics: Mathematics - Rings and Algebras, 12J10 16K50 (primary), 16K20 11S31
Year: 2011
OAI identifier: oai:arXiv.org:1105.0962
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