THE RATIONAL GROUP ALGEBRA OF A FINITE GROUP

DOI10.1142/S021949881250168XzbMath1348.20004MaRDI QIDQ4916159

Gurmeet K. Bakshi, Inder Bir Singh Passi, Ravindra S. Kulkarni

Publication date: 19 April 2013

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

zbMATH Keywords

irreducible complex charactersWedderburn decompositionsfinite metabelian groupsprimitive central idempotentsrational group algebrasShoda pairs

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Group rings (16S34) Group rings of finite groups and their modules (group-theoretic aspects) (20C05)

Related Items (8)

Group algebras. ⋮ Character triples and Shoda pairs ⋮ Integral group rings with all central units trivial ⋮ Degrees of faithful irreducible representations of metabelian groups ⋮ Minimal faithful quasi-permutation representation degree of \(p\)-groups with cyclic center ⋮ Finite semisimple group algebra of a normally monomial group ⋮ Structure of group rings and the group of units of integral group rings: an invitation ⋮ The Algebraic Structure of Finite Metabelian Group Algebras

Cites Work

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• Zassenhaus conjecture for \(A_5\)
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• Primitive Central Idempotents in Rational Group Algebras
• On Monomial Characters and Central Idempotents of Rational Group Algebras
• Construction of Units in Integral Group Rings of Finite Nilpotent Groups
• 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
• CENTRAL IDEMPOTENTS IN THE RATIONAL GROUP ALGEBRA OF A FINITE NILPOTENT GROUP
• On the group ring of a finite abelian group
• The Schur subgroup of the Brauer group

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