@inproceedings{c7a6475e47b140c7893bffbc4b9d1cc7,
title = "Failure of quasi-isometric rigidity for infinite-ended groups",
abstract = "We prove that an infinite-ended group whose one-ended factors have finite-index subgroups and are in a family of groups with a nonzero multiplicative invariant is not quasi-isometrically rigid. Combining this result with work of the first author proves that a residually-finite multi-ended hyperbolic group is quasi-isometrically rigid if and only if it is virtually free. The proof adapts an argument of Whyte for commensurability of free products of closed hyperbolic surface groups.",
author = "Nir Lazarovich and Emily Stark",
note = "Publisher Copyright: {\textcopyright} 2025 American Mathematical Society.; AMS Special Session on Ends and Boundaries of Groups In honor of Michael Mihalik{\textquoteright}s 70th Birthday, 2023 ; Conference date: 15-04-2023 Through 16-04-2023",
year = "2025",
doi = "https://doi.org/10.1090/conm/812/16272",
language = "الإنجليزيّة",
isbn = "9781470478636",
series = "Contemporary Mathematics",
publisher = "American Mathematical Society",
pages = "297--304",
editor = "Ross Geoghegan and Guilbault, {Craig R.} and Kim Ruane",
booktitle = "Topology at Infinity of Discrete Groups - AMS Special Session on Ends and Boundaries of Groups In honor of Michael Mihalik{\textquoteright}s 70th Birthday, 2023",
address = "الولايات المتّحدة",
}