Primitive Central Idempotents in Rational Group Algebras

DOI10.1080/00927872.2010.551685zbMath1254.20003OpenAlexW2019477370MaRDI QIDQ2888555

Gurmeet K. Bakshi, Inder Bir Singh Passi

Publication date: 1 June 2012

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

Full work available at URL: https://doi.org/10.1080/00927872.2010.551685

zbMATH Keywords

finite \(p\)-groupsirreducible charactersirreducible complex representationsWedderburn decompositionsprimitive central idempotentsrational group algebrasmonomial charactersgroup algebras of finite groups

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 (4)

Group algebras. ⋮ Integral group rings with all central units trivial ⋮ Quadratic forms in characteristic 2 and a Wedderburn decomposition over rationals ⋮ THE RATIONAL GROUP ALGEBRA OF A FINITE GROUP

Cites Work

• Groups of prime power order. Vol. 1.
• Generators of large subgroups of the unit group of integral group rings
• 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
• A structure theorem for the unit group of the integral group ring of some finite groups
• On the group ring of a finite abelian group
• The Schur subgroup of the Brauer group
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