9 citations · 37 across the 29 of their papers we have counts for
5 papers · 2 filters
Abelian extensions and solvable loops
David Stanovský, Petr Vojtěchovský
Based on the recent development of commutator theory for loops, we provide both syntactic and semantic characterization of abelian normal subloops. We highlight the analogies betwe…
Explicit constructions of loops with commuting inner mappings
Aleš Drápal, Petr Vojtěchovský
In 2004, Csörgő constructed a loop of nilpotency class three with abelian group of inner mappings. Until now, no other examples were known. We construct many such loops from groups…
The Moufang loops of order 64 and 81
Gábor P. Nagy, Petr Vojtěchovský
We classify Moufang loops of order 64 and 81 up to isomorphism, using a linear algebraic approach to central loop extensions. In addition to the 267 groups of order 64, there are 4…
Loops with abelian inner mapping groups: An application of automated deduction
Michael Kinyon, Robert Veroff, Petr Vojtěchovský
We describe a large-scale project in applied automated deduction concerned with the following problem of considerable interest in loop theory: If is a loop with commuting inner…
Half-isomorphisms of Moufang loops
Michael Kinyon, Izabella Stuhl, Petr Vojtechovsky
We prove that if the squaring map in the factor loop of a Moufang loop over its nucleus is surjective, then every half-isomorphism of onto a Moufang loop is either an isomo…