Lucien Clavier
Enumeration of nilpotent loops up to isotopy.
Mon, 01/30/2012 - 15:01 — SomNambulAuthors: Lucien Clavier
Subjects: Group Theory
AbstractWe 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 isomorphy.About the autotopisms of abelian groups.
Mon, 01/30/2012 - 15:01 — SomNambulAuthors: Lucien Clavier
Subjects: Group Theory
AbstractWe 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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