Twists of matrix algebras and Brauer groups

Wen Chen Chi, Ki Seng Tan

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2 Citations (Scopus)

Abstract

We study the twists of matrix algebras by some continuous characters which are regarded as 1-cocycles. Using results of Tate and Brauer-Hasse-Noether, we show that the whole Brauer group of a number field can be obtained by such twists of matrix algebras.

Original languageEnglish
Pages (from-to)111-118
Number of pages8
JournalJournal of Pure and Applied Algebra
Volume98
Issue number2
DOIs
Publication statusPublished - 1995 Jan 27

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ASJC Scopus subject areas

  • Algebra and Number Theory

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