The Algebraic Structure of Finite Metabelian Group Algebras

DOI10.1080/00927872.2014.888566zbMath1328.20004arXiv1311.1296OpenAlexW2028189674MaRDI QIDQ5256732

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

Publication date: 19 June 2015

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

Full work available at URL: https://arxiv.org/abs/1311.1296

zbMATH Keywords

automorphism groupsWedderburn decompositionsfinite metabelian groupsprimitive central idempotentssemisimple group algebrasgroup 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) Finite-dimensional division rings (16K20)

Related Items (11)

Wedderburn decomposition of a semisimple group algebra $\mathbb{F}_qG$ from a subalgebra of factor group of $G$ ⋮ Codes from dihedral 2-groups ⋮ Codes defined over dihedral groups of order \(2p^r\) ⋮ The unit groups of semisimple group algebras of some non-metabelian groups of order $144$ ⋮ Unnamed Item ⋮ Finite semisimple group algebra of a normally monomial group ⋮ Semisimple finite group algebra of a generalized strongly monomial group ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Minimum distance and idempotent generators of minimal cyclic codes of length ${p_1}^{\alpha_1}{p_2}^{\alpha_2}{p_3}^{\alpha_3}$ ⋮ Unit group of semisimple group algebras of some non-metabelian groups of order 120

Cites Work

• Some classes of semisimple group (and loop) algebras over finite fields.
• Wedderburn decomposition of finite group algebras.
• On Monomial Characters and Central Idempotents of Rational Group Algebras
• The Group of Automorphisms of the Rational Group Algebra of a Finite Metacyclic Group
• THE RATIONAL GROUP ALGEBRA OF A FINITE GROUP
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