Bulletin of the
Korean Mathematical Society

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

Ahead of Print Articles


Bull. Korean Math. Soc.

Published online March 10, 2022

Copyright © The Korean Mathematical Society.

Computation of Wedderburn decomposition of groups algebras from their subalgebra

Gaurav Mittal and Rajendra Sharma

IIT Rookee, Indian Institute of Technology, Delhi


In this paper, we show that under certain conditions the Wedderburn decomposition of a finite semisimple group algebra $\mathbb{F}_qG$ can be deduced from a subalgebra $\mathbb{F}_q(G/H)$ of factor group $G/H$ of $G$, where $H$ is a normal subgroup of $G$ of prime order $P$. Here, we assume that $q=p^r$ for some prime $p$ and the center of each Wedderburn component of $\mathbb{F}_qG$ is the coefficient field $\mathbb{F}_q$.

Keywords: Wedderburn decomposition, Unit group, Finite field

MSC numbers: 20C05

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