Wedderburn decomposition of a semisimple group algebra $\mathbb{F}_qG$ from a subalgebra of factor group of $G$

DOI10.24330/ieja.1077582OpenAlexW4213013783MaRDI QIDQ5092495

Gaurav Mittal, Rajendra K. Sharma

Publication date: 22 July 2022

Published in: International Electronic Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.24330/ieja.1077582

zbMATH Keywords

finite fieldunit groupWedderburn decomposition

Mathematics Subject Classification ID

Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Units, groups of units (associative rings and algebras) (16U60)

Related Items (1)

The unit groups of semisimple group algebras of some non-metabelian groups of order $144$

Cites Work

• The unit group of \(FS_4\).
• An introduction to group rings
• On unit group of finite semisimple group algebras of non-metabelian groups of order 108
• Simple Components of the Center ofFG/J(FG)
• A note on the structure of $$\mathbb{F}_{p^k}A_5/J (\mathbb{F}_{p^k}A_5)$$
• On unit group of finite semisimple group algebras of non-metabelian groups up to order 72
• On the unit group of a semisimple group algebra $\mathbb{F}_qSL(2, \mathbb{Z}_5)$
• The Algebraic Structure of Finite Metabelian Group Algebras
• A Course in Finite Group Representation Theory
• Abelian Group Algebras of Finite Order
• Unit group of semisimple group algebras of some non-metabelian groups of order 120
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