10 citations · 29 across the 16 of their papers we have counts for
17 papers
Basics of DTS quasigroups: algebra, geometry and enumeration
Aleš Drápal, Terry S. Griggs, Andrew R. Kozlik
A directed triple system can be defined as a decomposition of a complete digraph to directed triples . By setting , , and we get…
Flexible Latin directed triple systems
Aleš Drápal, Andrew R. Kozlik, Terry S. Griggs
It is well known that, given a Steiner triple system, a quasigroup can be formed by defining an operation by the identities and where is…
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…
Isomorphisms of quadratic quasigroups
Aleš Drápal, Ian M. Wanless
Let be a finite field of odd order and be such that and , where is the extended quadratic character…