11 citations · 12 across the 5 of their papers we have counts for
5 papers
Initiating the proof of the Liebeck--Nikolov--Shalev conjecture
Nick Gill, Noam Lifshitz, László Pyber +1
Liebeck, Nikolov, and Shalev conjectured that for every subset A of a finite simple group S with |A|>1, there exist O( log|S| / log|A| ) conjugates of A whose product is S. This pa…
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…
Arrangements of translates of a curve
Jozsef Solymosi, Endre Szabó
We show that there are five types of planar curves such that arrangements of its translates are combinatorially equivalent to an arrangement of lines. These curves can be used to d…
Finite subgroups of the homeomorphism group of a compact topological manifold are almost nilpotent
Balázs Csikós, László Pyber, Endre Szabó
Around twenty years ago Ghys conjectured that finite subgroups of the diffeomorphism group of a compact smooth manifold M have an abelian normal subgroup of index at most a(M), whe…
Growth in linear groups
Endre Szabó, László Pyber
We give a description of non-growing subsets in linear groups, which extends the Product theorem for simple groups of Lie type. We also give an account of various related aspects o…