9 citations · 37 across the 29 of their papers we have counts for
34 papers
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…
Estimating the Jacobian matrix of an unknown multivariate function from sample values by means of a neural network
Frédéric Latrémolière, Sadananda Narayanappa, Petr Vojtěchovský
We describe, implement and test a novel method for training neural networks to estimate the Jacobian matrix of an unknown multivariate function . The training set is constru…
A Sufficient Condition for a Quandle to be Latin
António Lages, Pedro Lopes, Petr Vojtěchovský
A quandle is an algebraic structure satisfying three axioms: idempotency, right-invertibility and right self-distributivity. In quandles, right translations are permutations. The p…