THE RATIONAL GROUP ALGEBRA OF A FINITE GROUP
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Publication:4916159
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)
irreducible complex charactersWedderburn decompositionsfinite metabelian groupsprimitive central idempotentsrational group algebrasShoda pairs
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 \(A_5\)
- Generators of large subgroups of the unit group of integral group rings
- 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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