Equivalence of g-algebras with complemented centroid

DOI10.1080/00927879408825120zbMath0810.20008OpenAlexW1975077961MaRDI QIDQ4304231

Alexandre Turull

Publication date: 17 April 1995

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

Full work available at URL: https://doi.org/10.1080/00927879408825120

zbMATH Keywords

equivalenceClifford theoryinvariantscovering groupsirreducible characterinertia groupSchur indexsymmetric and alternating groupsBrauer-Wall groupcentral simple \(G\)- algebras

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Module categories in associative algebras (16D90) Group rings (16S34) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Frobenius induction, Burnside and representation rings (19A22) Finite-dimensional division rings (16K20) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Projective representations and multipliers (20C25)

Related Items (9)

Brauer-Clifford equivalence of full matrix algebras. ⋮ Characters and Equivalence Classes of Central Simple Group Graded Algebras ⋮ Clifford theory for cyclic quotient groups ⋮ CLIFFORD CLASSES OF PRIMITIVE CENTRAL SIMPLE G-ALGEBRAS ⋮ Reduction theorems for Clifford classes ⋮ Equivalence and the Brauer–Clifford Group forG-Algebras over Commutative Rings ⋮ Invariants for equivalence of central simple \(G\)-algebras. ⋮ Calculating Clifford classes for characters containing a linear character once. ⋮ Using \(G\)-algebras for Schur index computation

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