The Schur subgroup. I

DOI10.1016/0021-8693(72)90154-8zbMath0239.20006OpenAlexW4210667082MaRDI QIDQ2553504

Mark Benard

Publication date: 1972

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

Full work available at URL: https://doi.org/10.1016/0021-8693(72)90154-8

Mathematics Subject Classification ID

Group rings (16S34) Group rings of finite groups and their modules (group-theoretic aspects) (20C05)

Related Items (24)

Ring isomorphism of cyclic cyclotomic algebras. ⋮ Projective Schur groups of Henselian fields ⋮ Symmetric units satisfying a group identity. ⋮ Groups which determine the Schur index of a representation ⋮ Metabelian groups and the brauer-witt theorem ⋮ Minimal Cyclotomic Splitting Fields for Group Characters ⋮ Handling integralp-Group rings ⋮ An algorithm for computing Schur indices of characters ⋮ Unnamed Item ⋮ More on the Schur Subgroup ⋮ A note on the Hambleton-Taylor-Williams conjecture ⋮ The Schur group of cyclotomic fields ⋮ The gap between the Schur group and the subgroup generated by cyclic cyclotomic algebras. ⋮ The 2-part of the Schur group ⋮ Algebras with uniformly distributed invariants ⋮ Minimizing representations over number fields. II: Computations in the Brauer group. ⋮ Characters, Brauer characters, and local Brauer groups ⋮ The Schur group of a commutative ring ⋮ The Schur subgroup. II ⋮ Central simple algebras over totally real fields which appear in Q\([G\)] ⋮ Embedding finite groups in rational division algebras. III ⋮ The computations of some Schur indices ⋮ Simple components of group algebras Q\([G\) central over real quadratic fields] ⋮ Representation groups for the Schur index

Cites Work

• On the Schur subgroup of the Brauer group
• A structure theory for Jordan algebras
• Die algebraische Struktur des Gruppenringes einer endlichen Gruppe über einem Zahlkörper.
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