Unit group of some finite semisimple group algebras

DOI10.1186/s42787-022-00151-0zbMath1499.16055OpenAlexW4295945716WikidataQ114060860 ScholiaQ114060860MaRDI QIDQ2099764

Namrata Arvind, Saikat Panja

Publication date: 18 November 2022

Published in: Journal of the Egyptian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s42787-022-00151-0

zbMATH Keywords

finite fieldgroup algebraunit groupWedderburn decomposition

Mathematics Subject Classification ID

Group rings (16S34) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Units, groups of units (associative rings and algebras) (16U60)

Uses Software

• GAP

Cites Work

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• An introduction to group rings
• Simple Components of the Center ofFG/J(FG)
• Convolutional codes from units in matrix and group rings
• A note on the structure of $$\mathbb{F}_{p^k}A_5/J (\mathbb{F}_{p^k}A_5)$$
• Unit groups of group algebras of groups of order 18
• Unit group of semisimple group algebras of some non-metabelian groups of order 120

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