Schur indices and Schur groups

DOI10.1006/jabr.1994.1281zbMath0838.20055OpenAlexW2052872440MaRDI QIDQ1336470

Peter Schmid

Publication date: 2 June 1996

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

Full work available at URL: https://doi.org/10.1006/jabr.1994.1281

zbMATH Keywords

finite groupsirreducible charactersfaithful charactersSchur groupsSchur indexBrauer-Witt theorem\(q\)-local indexexceptional Schur groups

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Galois theory (11R32) 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)

Related Items (9)

Automorphisms of blocks of group algebras and character values ⋮ On the calculation of local invariants of irreducible characters ⋮ Schur indices and commutators in supersolvable groups ⋮ On the automorphism groups of rational group algebras of metacyclic groups ⋮ Strengthening the McKay conjecture to include local fields and local Schur indices. ⋮ An algorithm for computing Schur indices of characters ⋮ Schur indices of perfect groups ⋮ On integral representations for \(\text{SL}(2,q)\) ⋮ Characters, Brauer characters, and local Brauer groups

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