1 citations · 1 across the 3 of their papers we have counts for
4 papers
Subdirect products and propagating equations with an application to Moufang theorem
Aleš Drápal, Petr Vojtěchovský
We introduce the concept of propagating equations and focus on the case of associativity propagating in varieties of loops. An equation propagates in an algebra i…
Small loops of nilpotency class three with commutative inner mapping groups
Aleš Drápal, Petr Vojtěchovský
Groups with commuting inner mappings are of nilpotency class at most two, but there exist loops with commuting inner mappings and of nilpotency class higher than two, called loops…
Symmetric multilinear forms and polarization of polynomials
Aleš Drápal, Petr Vojtěchovský
We study a generalization of the classical correspondence between homogeneous quadratic polynomials, quadratic forms, and symmetric/alternating bilinear forms to forms in varia…
Moufang loops that share associator and three quarters of their multiplication tables
Aleš Drápal, Petr Vojtěchovský
Two constructions due to Drápal produce a group by modifying exactly one quarter of the Cayley table of another group. We present these constructions in a compact way, and generali…