Probabilistically nilpotent groups

Aner Shalev

doi:10.1090/proc/13867

Probabilistically nilpotent groups

Aner Shalev^*

^*Corresponding author for this work

Einstein Institute of Mathematics

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

11 Scopus citations

Abstract

We show that, for a finitely generated residually finite group Γ, the word [x1,…, xk] is a probabilistic identity of Γ if and only if Γ has a finite index subgroup which is nilpotent of class less than k. Related results, generalizations and problems are also discussed.

Original language	English
Pages (from-to)	1529-1536
Number of pages	8
Journal	Proceedings of the American Mathematical Society
Volume	146
Issue number	4
DOIs	https://doi.org/10.1090/proc/13867
State	Published - 2018

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© 2017 American Mathematical Society.

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Probabilistically nilpotent groups

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