Abstract
Given a group G of order p 1 p 2, where p 1, p 2 are primes, and \(\mathbb{F}_{q}\), a finite field of order q coprime to p 1 p 2, the object of this paper is to compute a complete set of primitive central idempotents of the semisimple group algebra \(\mathbb{F}_{q}[G]\). As a consequence, we obtain the structure of \(\mathbb{F}_{q}[G]\) and its group of automorphisms.
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BAKSHI, G.K., GUPTA, S. & PASSI, I.B.S. Semisimple metacyclic group algebras. Proc Math Sci 121, 379–396 (2011). https://doi.org/10.1007/s12044-011-0045-4
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DOI: https://doi.org/10.1007/s12044-011-0045-4