Divisibility and laws in finite simple groups

Gady Kozma; Andreas Thom

doi:10.1007/s00208-015-1201-4

Divisibility and laws in finite simple groups

Gady Kozma, Andreas Thom

Department of Mathematics

Weizmann Institute of Science

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	79-95
Number of pages	17
Journal	Mathematische Annalen
Volume	364
Issue number	1-2
Early online date	3 Apr 2015
DOIs	https://doi.org/10.1007/s00208-015-1201-4
State	Published - Feb 2016

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1007/s00208-015-1201-4

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JO - Mathematische Annalen

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Divisibility and laws in finite simple groups

Abstract

All Science Journal Classification (ASJC) codes

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