Divisibility and Laws in Finite Simple Groups

2014/03/10 by Gady Kozma, Andreas Thom, Kozma, Gady +1 · 1 citation
Mathematics · #Finite Group Theory Research #Geometric and Algebraic Topology #Advanced Algebra and Geometry

paper · pdf · doi:10.48550/arxiv.1403.2324

Abstract

We provide new bounds for the divisibility function of the free group F₂ and construct short laws for the symmetric groups Sym(n). The construction is random and relies on the classification of the finite simple groups. We also give bounds on the length of laws for finite simple groups of Lie type.

Citations

• On the maximum orders of elements of finite almost simple groups and\n primitive permutation groups

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• The anabelian restricted Burnside problem

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