18 citations · 19 across the 4 of their papers we have counts for
6 papers
On -groups with a maximal elementary abelian normal subgroup of rank
Zoltán Halasi, Károly Podoski, László Pyber +1
There are several results in the literature concerning -groups with a maximal elementary abelian normal subgroup of rank due to Thompson, Mann and others. Following an i…
Random bases for coprime linear groups
Hülya Duyan, Zoltán Halasi, Károly Podoski
The minimal base size for a permutation group , is a widely studied topic in the permutation group theory. Z. Halasi and K. Podoski proved that for coprime l…
The maximal subgroups and the complexity of the flow semigroup of finite (di)graphs
Gábor Horváth, Chrystopher L. Nehaniv, Károly Podoski
The flow semigroup, introduced by John Rhodes, is an invariant for digraphs and a complete invariant for graphs. After collecting together previous partial results, we refine and p…
Every coprime linear group admits a base of size two
Zoltán Halasi, Károly Podoski
Let G be a linear group acting on the finite vector space V and assume that (|G|,|V|)=1. In this paper we prove that G has a base size at most two and this estimate is sharp. This…
On the Orbits of Solvable Linear Groups
Zoltan Halasi, Karoly Podoski
Let be a solvable linear group acting on the finite vectorpace and assume that . In this paper we find such that . In particula…
On finite groups whose derived subgroup has bounded rank
Karoly Podoski, Balazs Szegedy
Let be a finite group with derived subgroup of rank . We prove that $\gzz\leq |G'|^{2r}$. Motivated by the results of I. M. Isaacs in \cite{isa} we show that if is capab…