Structure of some classes of semisimple group algebras over finite fields
Bull. Korean Math. Soc. 2014 Vol. 51, No. 6, 1605-1614
https://doi.org/10.4134/BKMS.2014.51.6.1605
Published online November 30, 2014
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
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