26 citations · 96 across the 41 of their papers we have counts for
4 papers · 2 filters
A class of finite simple Bol loops of exponent 2
Gabor P. Nagy
In this paper we give an infinite class of finite simple right Bol loops of exponent 2. The right multiplication group of these loops is an extension of an elementary Abelian 2-gro…
A class of simple proper Bol loops
Gabor P. Nagy
The existence of finite simple non-Moufang Bol loops was considered as one of the main open problems in the theory of loops and quasigroups. In this paper, we present a class of pr…
Octonions, simple Moufang loops and triality
Gábor P. Nagy, Petr Vojtěchovský
Nonassociative finite simple Moufang loops are exactly the loops constructed by Paige from Zorn vector matrix algebras. We prove this result anew, using geometric loop theory. In o…
Automorphism groups of simple Moufang loops over perfect fields
Gábor P. Nagy, Petr Vojtěchovský
Let be a perfect field and the nonassociative simple Moufang loop consisting of the units in the (unique) split octonion algebra modulo the center. Then $Aut(M^…