CLIFFORD CLASSES OF PRIMITIVE CENTRAL SIMPLE G-ALGEBRAS

DOI10.1142/S0219498806001661zbMath1098.16009OpenAlexW2010996848MaRDI QIDQ5470126

Allen Herman

Publication date: 29 May 2006

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498806001661

zbMATH Keywords

Galois extensionsinvariantsskew group algebrasClifford classes\(G\)-algebrasinertia subgroupsinterior central simple algebras

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Automorphisms and endomorphisms (16W20) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60) Finite-dimensional division rings (16K20) Twisted and skew group rings, crossed products (16S35)

Related Items (4)

The Brauer-Clifford group. ⋮ Brauer-Clifford equivalence of full matrix algebras. ⋮ Equivalence and the Brauer–Clifford Group forG-Algebras over Commutative Rings ⋮ Invariants for equivalence of central simple \(G\)-algebras.

Cites Work

• Clifford theory with Schur indices
• Some invariants for equivalent \(G\)-algebras
• Calculating Clifford classes for characters containing a linear character once.
• Equivalence of g-algebras with complemented centroid

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