A reduction theorem for the isomorphism problem of group algebras over fields

2023/05/16 by Diego García-Lucas, Ángel del Rı́o, García-Lucas, Diego +1
Mathematics · #16S34 #20C05 #Algebraic structures and combinatorial models #FOS: Mathematics #Finite Group Theory Research #Representation Theory (math.RT) #Rings and Algebras (math.RA) #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.2305.09355

openalex publication_date 2023/05/16 · openalex created_date 2023/05/18 · openalex updated_date 2026/07/28

Abstract

We prove that the isomorphism problem for group algebras reduces to group algebras over finite extensions of the prime field. In particular, the modular isomorphism problem reduces to finite modular group algebras.

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