Polyadic groups and automorphisms of cyclic extensions

2012/03/09 by M. Shahryari, Shahryari, M.
Mathematics · #20N15 #Advanced Differential Equations and Dynamical Systems #Advanced Topics in Algebra #FOS: Mathematics #Finite Group Theory Research #Group Theory (math.GR) #math.GR #msc:20N15

paper · pdf · doi:10.48550/arxiv.1203.2123

arxiv created 2012/03/09 · openalex publication_date 2012/03/09 · arxiv updated 2012/03/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that for any n-ary group (G,f), the group Aut(G,f) can be embedded in Aut(ℤ_n-1\ltimes G) and so we can obtain a class of interesting automorphisms of cyclic extensions.

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