5 citations · 7 across the 3 of their papers we have counts for
6 papers · 1 filter
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…
Some numerical characteristics of Sylvester and Hadamard matrices
Ágota Figula, Vakhtang Kvaratskhelia
We introduce numerical characteristics of Sylvester and Hadamard matrices and give their estimates and some of their applications.
Three-dimensional loops as sections in a four-dimensional solvable Lie group
Ágota Figula
We classify all three-dimensional connected topological loops such that the group topologically generated by their left translations is the four-dimensional connected Lie group …
On the multiplication groups of three-dimensional topological loops
Ágota Figula
We clarify the structure of nilpotent Lie groups which are multiplication groups of -dimensional simply connected topological loops and prove that non-solvable Lie groups acting…
-dimensional Bol loops corresponding to solvable Lie triple systems
Ágota Figula
We classify the connected -dimensional differentiable Bol loops having a solvable Lie group as the group topologically generated by the left translations of using -di…