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arXiv · 1201.5655

About the autotopisms of abelian groups

Lucien Clavier
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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 G^2. We then provide the subgroup structure of Atp(G) when G is a finite cyclic group.

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Lucien Clavier. 2012-01-26. About the autotopisms of abelian groups. https://arxiv.org/abs/1201.5655

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