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

DOI10.1016/0021-8693(91)90104-GzbMath0735.13003OpenAlexW2087582560MaRDI QIDQ1173732

P. Nelis, Freddy M. J. van Oystaeyen

Publication date: 25 June 1992

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(91)90104-g

zbMATH Keywords

Azumaya algebraClifford algebracentral simple algebraSchur subgroup of the Brauer groupMerkurev-Suslin theoremprojective Schur group

Mathematics Subject Classification ID

Group rings (16S34) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Brauer groups of schemes (14F22) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Twisted and skew group rings, crossed products (16S35)

Related Items (9)

Unnamed Item ⋮ The Schur Group Conjecture for the Ring of Integers of a Number Field ⋮ Introducing crystalline graded algebras. ⋮ Projective schur division algebras ⋮ The Brauer group of irreducible coalgebras ⋮ Division algebras with a projective basis ⋮ Projective Schur algebras of nilpotent type are Brauer equivalent to radical algebras ⋮ Finite groups over arithmetical rings and globally irreducible representations. ⋮ Projective schur algebras over a field of positive characteristic

Cites Work

• The Brauer splitting theorem and projective representations of finite groups over rings
• Einfache Algebren und projektive Darstellungen über Zahlkörpern
• Separable algebras over commutative rings
• Endliche Gruppen I
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