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The unit group of \(FA_4\). (English) Zbl 1135.16033

Summary: A complete characterization of the unit group \(\mathcal U(FA_4)\) of the group algebra \(FA_4\) of the alternating group of degree 4, \(A_4\), over a finite field \(F\) is obtained.

MSC:

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