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arxiv: 1201.5655 · v1 · pith:SEHMWWRBnew · submitted 2012-01-26 · 🧮 math.GR

About the autotopisms of abelian groups

classification 🧮 math.GR
keywords groupabelianautomorphismautotopismautotopismscyclicdescribefinite
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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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