Non cyclic division algebras of prime degree

2020/09/12 by Shmuel Rosset, Rosset, Shmuel
Mathematics · #Advanced Topics in Algebra #FOS: Mathematics #Finite Group Theory Research #Rings and Algebras (math.RA) #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.2009.05772

openalex publication_date 2020/09/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This paper shows that p primary components of certain generic crossed products are not crossed products. This applies in particular to primary components of prime degree, thus producing examples of division algebras of prime degree that are not cyclic.

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