26 citations · 96 across the 41 of their papers we have counts for
4 papers · 2 filters
Moufang loops with commuting inner mappings
Gábor P. Nagy, Petr Vojtěchovský
We investigate the relation between the structure of a Moufang loop and its inner mapping group. Moufang loops of odd order with commuting inner mappings have nilpotency class at m…
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…
Computing with small quasigroups and loops
Gábor P. Nagy, Petr Vojtěchovský
This is a companion to our lectures GAP and loops, to be delivered at the Workshops Loops 2007, Prague, Czech Republic. In the lectures we introduce the GAP package LOOPS, describe…
On centerless commutative automorphic loops
Gábor P. Nagy
In this short paper, we survey the results on commutative automorphic loops and give a new construction method. Using this method, we present new classes of commutative automorphic…