The structure of the unit group of the group algebra F(C₃ × D₁₀)

2021/06/04 by Meena Sahai, Sahai, Meena, Sheere Farhat Ansari +1
Computer Science · Mathematics · #16U60 #20C05 #Coding theory and cryptography #FOS: Mathematics #Finite Group Theory Research #Rings and Algebras (math.RA) #math.RA #msc:16U60 #msc:20C05

paper · pdf · doi:10.48550/arxiv.2106.02265

arxiv created 2021/06/04 · openalex publication_date 2021/06/04 · arxiv updated 2021/06/07 · openalex created_date 2021/06/22 · openalex updated_date 2026/07/28

Abstract

Let D_n be the dihedral group of order n. The structure of the unit group U(F(C₃ × D₁₀)) of the group algebra F(C₃ × D₁₀) over a finite field F of characteristic 3 is given in \citesh13. In this article, the structure of U(F(C₃ × D₁₀)) is obtained over any finite field F of characteristic p ≠ 3.

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