Clifford theory with Schur indices

DOI10.1006/jabr.1994.1359zbMath0813.20010OpenAlexW1982501244MaRDI QIDQ1340448

Alexandre Turull

Publication date: 19 December 1994

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

Full work available at URL: https://doi.org/10.1006/jabr.1994.1359

zbMATH Keywords

finite groupsClifford theoryBrauer groupscentral simple algebrasBrauer-Wall groupsSchur indicesSchur index

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Ordinary representations and characters (20C15) Automorphisms and endomorphisms (16W20) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Finite-dimensional division rings (16K20) Brauer groups of schemes (14F22)

Related Items (18)

Clifford Theory with Schur Indices in Projective Representation Theory ⋮ On Clifford theory with Galois action ⋮ CENTRAL SIMPLE -GRADED ALGEBRAS ⋮ The Brauer-Clifford group. ⋮ Some invariants for equivalent \(G\)-algebras ⋮ Sylow normalizers and irreducible characters with small cyclotomic field of values ⋮ Characters and Equivalence Classes of Central Simple Group Graded Algebras ⋮ The Brauer-Clifford group and rational forms of finite groups. ⋮ Odd character correspondences in solvable groups. ⋮ Derived invariance of Clifford classes ⋮ 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. ⋮ Unnamed Item ⋮ Character correspondences in solvable groups. ⋮ Calculating Clifford classes for characters containing a linear character once. ⋮ Using \(G\)-algebras for Schur index computation

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