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The projective Schur subgroup of the Brauer group and root groups of finite groups

✍ Scribed by P Nelis; F Van Oystaeyen

Publisher: Elsevier Science
Year: 1991
Tongue: English
Weight: 982 KB
Volume: 137
Category: Article
ISSN: 0021-8693
DOI: 10.1016/0021-8693(91)90104-g

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If \(k\) is a field, the projective Schur group \(\operatorname{PS}(k)\) of \(k\) is the subgroup of the Brauer group \(\operatorname{Br}(k)\) consisting of those classes which contain a projective Schur algebra, i.e., a homomorphic image of a twisted group algebra \(k^{\text {" }} G\) with \(G\) fi