@article{eb2ae98bfe354003a33dc1c176b0b9fa,
title = "Some orbits of free words that are determined by measures on finite groups",
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.",
keywords = "Free groups, Profinite groups",
author = "Liam Hanany and Chen Meiri and Doron Puder",
note = "Publisher Copyright: {\textcopyright} 2020 Elsevier Inc.",
year = "2020",
month = aug,
day = "1",
doi = "10.1016/j.jalgebra.2020.03.013",
language = "אנגלית",
volume = "555",
pages = "305--324",
journal = "Journal of Algebra",
issn = "0021-8693",
publisher = "Academic Press Inc.",
}