11 citations · 14 across the 3 of their papers we have counts for
3 papers
math.GR2024
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…
math.GR2024★ 3 cited
Growth of products of subsets in finite simple groups
Daniele Dona, Attila Maróti, László Pyber
We prove that the product of a subset and a normal subset inside any finite simple non-abelian group grows rapidly. More precisely, if and are two subsets with norm…
math.GR2012★ 11 cited
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…