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math.GR2021
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(\…
math.GR2021
Some simplifications in the proof of the Sims conjecture
László Pyber, Gareth Tracey
We prove an elementary lemma concerning primitive amalgams and use it to greatly simplify the proof of the Sims conjecture in the case of almost simple groups.