About the autotopisms of abelian groups

2012/01/26 by Lucien Clavier, Clavier, Lucien
Engineering · Mathematics · #20K01 #Advanced Materials and Mechanics #FOS: Mathematics #Group Theory (math.GR) #History and Theory of Mathematics #Mathematics and Applications

paper · pdf · doi:10.48550/arxiv.1201.5655

openalex publication_date 2012/01/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We describe the autotopism group Atp(G) of any abelian group G as being a semidirect product of its automorphism group Aut(G) and G². We then provide the subgroup structure of Atp(G) when G is a finite cyclic group.

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