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math.GR2012★ 1 cited
About the autotopisms of abelian groups
Lucien Clavier
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…
math.GR2012
Enumeration of nilpotent loops up to isotopy
Lucien Clavier
We modify tools introduced by Daniel Daly and Petr Vojtechovsky in order to count, for any odd prime q, the number of nilpotent loops of order 2q up to isotopy, instead of isomorph…