71 citations · 123 across the 9 of their papers we have counts for
4 papers · 1 filter
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(\…
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…