15 citations · 22 across the 9 of their papers we have counts for
11 papers
Anti-commutative algebras and their groups of automorphisms
Ágota Figula, Péter T. Nagy
We determine normal forms of the multiplication of four-dimensional anti-commutative algebras over a field of characteristic zero having an analogous family of flags of…
Tangent prolongation of -differentiable loops
Ágota Figula, Péter T. Nagy
The aim of our paper is to generalize the tangent prolongation of Lie groups to non-associative multiplications and to examine how the weak associative and weak inverse properties…
Inverse property of non-associative abelian extensions
Ágota Figula, Péter T. Nagy
Our paper deals with the investigation of extensions of commutative groups by loops so that the quasigroups that result in the multiplication between cosets of the kernel subgroup…
Nuclear properties of loop extensions
Péter T. Nagy
The objectives of this paper is to give a systematic investigation of extension theory of loops. A loop extension is (left, right or middle) nuclear, if the kernel of the extension…
Characterization of projectively flat Finsler manifolds of constant curvature with finite dimensional holonomy group
Zoltan Muzsnay, Peter T. Nagy
In this paper we prove that the holonomy group of a simply connected locally projectively flat Finsler manifold of constant curvature is a finite dimensional Lie group if and only…
Tangent Lie algebras to the holonomy group of a Finsler manifold
Zoltan Muzsnay, Peter T. Nagy
Our goal in this paper is to make an attempt to find the largest Lie algebra of vector fields on the indicatrix such that all its elements are tangent to the holonomy group of a Fi…