On Henselian valuations and Brauer groups of primarily quasilocal fields

Ivan Chipchakov

On Henselian valuations and Brauer groups of primarily quasilocal fields

Rings and Algebras 2011-05-06 v1

Authors: 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.

Keywords

Henselian valuation Brauer group primarily quasilocal field totally indivisible value group abelian torsion group divisible group

Cite

@article{arxiv.1105.0962,
  title  = {On Henselian valuations and Brauer groups of primarily quasilocal fields},
  author = {Ivan Chipchakov},
  journal= {arXiv preprint arXiv:1105.0962},
  year   = {2011}
}

Comments

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, 2010

On Henselian valuations and Brauer groups of primarily quasilocal fields

Abstract

Keywords

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