Bulletin of the
Korean Mathematical Society
BKMS

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

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Bull. Korean Math. Soc. 2014; 51(6): 1605-1614

Printed November 30, 2014

https://doi.org/10.4134/BKMS.2014.51.6.1605

Copyright © The Korean Mathematical Society.

Structure of some classes of semisimple group algebras over finite fields

Neha Makhijani, Rajendra Kumar Sharma, and J. B. Srivastava

Indian Institute of Technology, Indian Institute of Technology, Indian Institute of Technology

Abstract

In continuation to the investigation initiated by Ferraz, Goo\-daire and Milies in \cite{ferraz}, we provide an explicit description for the Wedderburn decomposition of finite semisimple group algebras of the class of finite groups $G$, such that $G/\mathcal{Z}(G)\cong C_{2}\times C_{2}$, where $\mathcal{Z}(G)$ denotes the center of $G$.

Keywords: group algebra, Wedderburn decomposition

MSC numbers: 16S34, 20C05, 11Z05