Endre Szab'o

activity

20122024

most citedGrowth in linear groups

11 citations · 12 across the 5 of their papers we have counts for

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3 papers · 1 filter

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.GR2023

On $p$ -groups with a maximal elementary abelian normal subgroup of rank $k$

Zoltán Halasi, Károly Podoski, László Pyber +1

There are several results in the literature concerning $p$ -groups $G$ with a maximal elementary abelian normal subgroup of rank $k$ due to Thompson, Mann and others. Following an i…

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…

Initiating the proof of the Liebeck--Nikolov--Shalev conjecture

On p-groups with a maximal elementary abelian normal subgroup of rank k

Growth in linear groups

On $p$ -groups with a maximal elementary abelian normal subgroup of rank $k$