20 citations · 69 across the 36 of their papers we have counts for
6 papers · 1 filter
The Robust Thompson's Conjecture for Alternating Groups
Nathan Keller, Noam Lifshitz, Avichai Marmor +1
We show that there exists a constant such that if is a conjugacy class in of size at least , then . This proves the…
Completing the proof of the Liebeck--Nikolov--Shalev conjecture
Noam Lifshitz
Liebeck, Nikolov, and Shalev conjectured the existence of an absolute constant , such that for every subset of a finite simple group with , there exists $C\l…
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…
Improved covering results for conjugacy classes of symmetric groups via hypercontractivity
Nathan Keller, Noam Lifshitz, Ohad Sheinfeld
We study covering numbers of subsets of the symmetric group that exhibit closure under conjugation, known as \emph{normal} sets. We show that for any , there exists $n_0…
Sharp hypercontractivity for symmetric groups and its applications
Peter Keevash, Noam Lifshitz
A recently fertile strand of research in Group Theory is developing non-abelian analogues of classical combinatorial results for arithmetic Cayley graphs, describing properties suc…
Monochromatic generating sets in groups and other algebraic structures
Noam Lifshitz, Itay Ravia, Boaz Tsaban
The \emph{generating chromatic number} of a group , $\chigen(G)$, is the maximum number of colors such that there is a monochromatic generating set for each coloring of the…