9 citations · 37 across the 29 of their papers we have counts for
25 papers · 1 filter
Bol loops of order 27
Alexander Grishkov, Michael Kinyon, Petr Vojtěchovský
We classify Bol loops of order , using a combination of theoretical results and computer search. There are Bol loops of order , including five groups. New construction…
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…
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…
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…
A variety of Steiner loops satisfying Moufang's theorem: A solution to Rajah's Problem
Aleš Drápal, Petr Vojtěchovský
A loop is said to satisfy Moufang's theorem if for every such that the subloop generated by , , is a group. We prove that the variety o…
Automorphisms of dihedral-like automorphic loops
Mouna Aboras, Petr Vojtěchovský
Automorphic loops are loops in which all inner mappings are automorphisms. A large class of automorphic loops is obtained as follows: Let be a positive even integer, an abe…