Fields for which the projective Schur subgroup is the whole Brauer group

Eli Aljadeff*, Jack Sonn

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

Let Br(K) denote the Brauer group of a field K and PS(K) the projective Schur subgroup. 1. Let K be a finitely generated infinite field. Then PS(K) = Br(K) if and only if K is a global field. 2. Let K be a finitely generated infinite field, and let K((t)) denote the field of formal power series t over K. Then PS(K((t))) = Br(K((t))) if and only if K = ℚ.

Original languageEnglish
Pages (from-to)375-379
Number of pages5
JournalIsrael Journal of Mathematics
Volume131
DOIs
StatePublished - 2002
Externally publishedYes

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