On the automorphism groups of rational group algebras of metacyclic groups

DOI10.1080/00927879708825973zbMath0881.20003OpenAlexW1999146818MaRDI QIDQ4351118

Allen Herman

Publication date: 19 February 1998

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

Full work available at URL: https://doi.org/10.1080/00927879708825973

zbMATH Keywords

rational group algebrasfinite metacyclic groupsgroups of outer automorphismsirreducible Wedderburn components

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Group rings (16S34) Automorphisms and endomorphisms (16W20) Group rings of finite groups and their modules (group-theoretic aspects) (20C05)

Related Items

On Monomial Characters and Central Idempotents of Rational Group Algebras, Primitive Central Idempotents in Rational Group Algebras, Ring isomorphism of cyclic cyclotomic algebras., Semisimple metacyclic group algebras., Integral group rings with all central units trivial, An algorithm to compute the primitive central idempotents and the Wedderburn decomposition of a rational group algebra., THE RATIONAL GROUP ALGEBRA OF A FINITE GROUP, The Group of Automorphisms of the Rational Group Algebra of a Finite Metacyclic Group, Computing the Wedderburn decomposition of group algebras by the Brauer–Witt theorem

Cites Work

• Unnamed Item
• Schur indices and Schur groups
• The Schur subgroup. II
• Automorphisms of group algebras of some metacyelic groups^∗
• Metabelian groups and the brauer-witt theorem
• On the group ring of a finite abelian group
• Arithmetische Untersuchung des Charakterringes einer endlichen Gruppen. Mit Anwendungen auf die Bestimmung des minimalen Darstellungskörpers einer endlichen Gruppe und in der Theorie der Artinschen L-Funktionen.
• The Schur subgroup of the Brauer group