Á. Figula

activity

20152024

most citedThe action of a compact Lie group on nilpotent Lie algebras of type {n,2}

1 citations · 1 across the 11 of their papers we have counts for

collaborators

16 papers

math.CO2024

Extensions of Steiner Triple Systems

Giovanni Falcone, Agota Figula, Mario Galici

In this article we study extensions of Steiner triple systems by means of the associated Steiner loops. We recognize that the set of Veblen points of a Steiner triple system corres…

math.AG2020

Explicit bases of the Riemann-Roch spaces on divisors on hyperelliptic curves

Giovanni Falcone, Ágota Figula, Carolin Hannusch

For an (imaginary) hyperelliptic curve $H$ of genus $g$ , we determine a basis of the Riemann-Roch space $L (D)$ , where $D$ is a divisor with positive degree $n$ ,…

math.DS2019

The Lie symmetry group of the general Lienard-type equation

Ágota Figula, Gábor Horváth, Tamás Milkovszki +1

We consider the general Lienard-type equation $u ¨ = \sum_{k = 0}^{n} f_{k} u ˙^{k}$ for $n \geq 4$ . This equation naturally admits the Lie symmetry $\frac{\partial}{\partial t}$ .…

math.RA2015

Multiplicative loops of $2$ -dimensional topological quasifields

Giovanni Falcone, Ágota Figula, Karl Strambach

We determine the algebraic structure of the multiplicative loops for locally compact $2$ -dimensional topological connected quasifields. In particular, our attention turns to multip…

math.GR2015

Three-dimensional topological loops with solvable multiplication groups

Ágota Figula

We prove that each $3$ -dimensional connected topological loop $L$ having a solvable Lie group of dimension $\leq 5$ as the multiplication group of $L$ is centrally nilpotent of clas…

math.GR2015

Topological loops having decomposable solvable multiplication group

Ameer Al-Abayechi, Ágota Figula

In this paper we deal with the class C of decomposable solvable Lie groups having dimension at most six. We determine those Lie groups in C and their subgroups which are the multip…