71 citations · 123 across the 9 of their papers we have counts for
9 papers
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(\…
The strong Massey vanishing conjecture for fields with virtual cohomological dimension at most
Ambrus Pál, Endre Szabó
We show that a strong vanishing conjecture for -fold Massey products holds for fields of virtual cohomological dimension at most using a theorem of Haran. We also prove the…
Diffeomorphism Groups of Compact 4-manifolds are not always Jordan
Balázs Csikós, László Pyber, Endre Szabó
We show that if is a compact smooth manifold diffeomorphic to the total space of an orientable bundle over the torus , then its diffeomorphism group does not have th…
On Triple Lines and Cubic Curves --- the Orchard Problem revisited
György Elekes, Endre Szabó
Planar point sets with many triple lines (which contain at least three distinct points of the set) have been studied for 180 years, started with Jackson and followed by Sylvester.…
On the product decomposition conjecture for finite simple groups
Nick Gill, László Pyber, Ian Short +1
We prove that if is a finite simple group of Lie type and a subset of of size at least two then is a product of at most conjugates of , where…
Growth in finite simple groups of Lie type of bounded rank
László Pyber, Endre Szabó
We prove that if L is a finite simple group of Lie type and A a symmetric set of generators of L, then A grows i.e |AAA| > |A|^{1+epsilon} where epsilon depends only on the Lie ran…
Growth in finite simple groups of Lie type
László Pyber, Endre Szabó
We prove that if L is a finite simple group of Lie type and A a symmetric set of generators of L, then A grows i.e |AAA| > |A|^(1+epsilon) where epsilon depends only on the Lie ran…
Rationally connected varieties over finite fields
János Kollár, Endre Szabó
Let X be a geometrically rational (or more generally, separably rationally connected) variety over a finite field K. We prove that if K is large enough then X contains many rationa…