Some orbits of free words that are determined by measures on finite groups

Liam Hanany, Chen Meiri, Doron Puder*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

Every word in a free group F induces a probability measure on every finite group in a natural manner. It is an open problem whether two words that induce the same measure on every finite group, necessarily belong to the same orbit of AutF. A special case of this problem, when one of the words is the primitive word x, was settled positively by the third author and Parzanchevski [15]. Here we extend this result to the case where one of the words is xd or [x,y]d for an arbitrary d∈Z.

Original languageEnglish
Pages (from-to)305-324
Number of pages20
JournalJournal of Algebra
Volume555
DOIs
StatePublished - 1 Aug 2020

Funding

FundersFunder number
United States-Israel Binational Science Foundation2014099, 662/15
Israel Science Foundation1071/16

    Keywords

    • Free groups
    • Profinite groups

    Fingerprint

    Dive into the research topics of 'Some orbits of free words that are determined by measures on finite groups'. Together they form a unique fingerprint.

    Cite this