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math.GR2023
Abelian congruences and solvability in Moufang loops
Aleš Drápal, Petr Vojtěchovský
In groups, an abelian normal subgroup induces an abelian congruence. We construct a class of centrally nilpotent Moufang loops containing an abelian normal subloop that does not in…
math.GR2023
On abelian-by-cyclic Moufang loops
Aleš Drápal, Petr Vojtěchovský
We study abelian-by-cyclic Moufang loops. We construct all split -divisible abelian-by-cyclic Moufang loops from so-called Moufang permutations on abelian groups , which…
math.GR2023
Congruence solvability in finite Moufang loops of order coprime to three
Aleš Drápal, Petr Vojtěchovský
We prove that a normal subloop of a Moufang loop induces an abelian congruence of if and only if each inner mapping of restricts to an automorphism of and $u(xy…