Every projective Schur algebra is Brauer equivalent to a radical abelian algebra

Eli Aljadeff*, Ángel Del Río

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

We prove that any projective Schur algebra over a field K is equivalent in Br(K) to a radical abelian algebra. This was conjectured in 1995 by Sonn and the first author of this paper. As a consequence, we obtain a characterization of the projective Schur group by means of Galois cohomology. The conjecture was known for algebras over fields of positive characteristic. In characteristic zero the conjecture was known for algebras over fields with a Henselian valuation over a local or global field of characteristic zero.

Original languageEnglish
Pages (from-to)731-740
Number of pages10
JournalBulletin of the London Mathematical Society
Volume39
Issue number5
DOIs
StatePublished - Oct 2007

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