71 citations · 151 across the 17 of their papers we have counts for
20 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…
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…
On the number of stabilizer subgroups in a finite group acting on a manifold
Balázs Csikós, Ignasi Mundet i Riera, László Pyber +1
If a finite p-group G acts continuously on a compact topological manifold M then, with some bound C depending on M alone, G has a subgroup H of index at most C such that the H-acti…
Growth in linear groups
Sean Eberhard, Brendan Murphy, László Pyber +1
We prove a conjecture of Helfgott on the structure of sets of bounded tripling in bounded rank, which states the following. Let be a finite symmetric subset of $\mathrm{GL}_n(\…
Some simplifications in the proof of the Sims conjecture
László Pyber, Gareth Tracey
We prove an elementary lemma concerning primitive amalgams and use it to greatly simplify the proof of the Sims conjecture in the case of almost simple groups.
A generalization of a theorem of Rodgers and Saxl for simple groups of bounded rank
N. Gill, L. Pyber, E. Szabó
We prove that if is a finite simple group of Lie type and are subsets of satisfying for some depending only on the rank o…