Ring isomorphism of cyclic cyclotomic algebras.

DOI10.1007/s10468-009-9158-1zbMath1186.16015OpenAlexW2095424624MaRDI QIDQ838987

Gabriela Olteanu, Allen Herman, Ángel Del Río

Publication date: 1 September 2009

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10468-009-9158-1

zbMATH Keywords

rational group algebrasfinite metacyclic groupsring isomorphismslocal Schur indicescyclic cyclotomic algebras

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Group rings (16S34) Automorphisms and endomorphisms (16W20) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Finite-dimensional division rings (16K20)

Related Items (1)

The gap between the Schur group and the subgroup generated by cyclic cyclotomic algebras.

Cites Work

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• Algebras with uniformly distributed invariants
• The Schur subgroup. I
• On Monomial Characters and Central Idempotents of Rational Group Algebras
• The Group of Automorphisms of the Rational Group Algebra of a Finite Metacyclic Group
• On the automorphism groups of rational group algebras of metacyclic groups
• Die algebraische Struktur des Gruppenringes einer endlichen Gruppe über einem Zahlkörper.
• The Schur subgroup of the Brauer group

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