Semisimple metacyclic group algebras.

DOI10.1007/s12044-011-0045-4zbMath1264.20002OpenAlexW2141462417MaRDI QIDQ1930297

Shalini Gupta, Gurmeet K. Bakshi, Inder Bir Singh Passi

Publication date: 10 January 2013

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12044-011-0045-4

zbMATH Keywords

automorphism groupsirreducible charactersirreducible representationsmetacyclic groupsGalois fieldsWedderburn decompositionsprimitive central idempotentssemisimple representationsgroup 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 (7)

Group algebras. ⋮ Good codes from metacyclic groups II ⋮ A note on normal complement problem ⋮ On idempotents of a class of commutative rings ⋮ Finite semisimple group algebra of a normally monomial group ⋮ Semisimple finite group algebra of a generalized strongly monomial group ⋮ Good codes from metacyclic groups

Cites Work

• Wedderburn decomposition of finite group algebras.
• Idempotents in group algebras and minimal abelian codes
• The unit group of \(FS_4\).
• Minimal codes of prime-power length.
• Minimal cyclic codes of length \(p^{n} q\).
• Cyclotomic numbers and primitive idempotents in the ring \(\mathrm{GF}(q)[x/(x^{p^n} - 1)\)]
• 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
• Automorphisms of group algebras of some metacyelic groups^∗
• CENTRAL IDEMPOTENTS IN THE RATIONAL GROUP ALGEBRA OF A FINITE NILPOTENT GROUP
• An Occupation Time Theorem for the Angular Component of Plane Brownian Motion
• Abelian Group Algebras of Finite Order
• The Schur subgroup of the Brauer group
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