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Abstract. Let $\mathbb{F}_{p^{k}}A_{5}$ be the group algebra of $A_{5}$, the alternating group of degree $5$, over $\mathbb{F}_{p^{k}}=GF(p^{k})$, where $p$ is a prime. Using the theory developed by Ferraz in [Ferraz08], we give an explicit description for the Wedderburn decomposition of $\mathbb{F}_{p^{k}}A_{5}$ modulo its Jacobson radical.
DOI: 10.14232/actasm-014-311-2
AMS Subject Classification
(1991): 16S34; 16U60
Keyword(s):
group algebra,
Wedderburn decomposition,
unit group
Received August 19, 2014. (Registered under 61/2014.)
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