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  Connected components of Morse boundaries of graphs of groups

Fioravanti, E., & Karrer, A. (2022). Connected components of Morse boundaries of graphs of groups. Pacific Journal of Mathematics, 317(2), 339-361. doi:10.2140/pjm.2022.317.339.

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Item Permalink: https://hdl.handle.net/21.11116/0000-000A-D660-8 Version Permalink: https://hdl.handle.net/21.11116/0000-000E-1095-7
Genre: Journal Article

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Dieser Beitrag ist mit Zustimmung des Rechteinhabers aufgrund einer Allianz- bzw. Nationallizenz frei zugänglich. / This publication is with permission of the rights owner freely accessible due to an Alliance licence and a national licence respectively.
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 Creators:
Fioravanti, Elia1, Author           
Karrer, Annette, Author
Affiliations:
1Max Planck Institute for Mathematics, Max Planck Society, ou_3029201              

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Free keywords: Mathematics, Group Theory, Geometric Topology
 Abstract: Let a finitely generated group $G$ split as a graph of groups. If edge groups
are undistorted and do not contribute to the Morse boundary $\partial_MG$, we
show that every connected component of $\partial_MG$ with at least two points
originates from the Morse boundary of a vertex group. Under stronger
assumptions on the edge groups (such as wideness in the sense of
Dru\c{t}u-Sapir), we show that Morse boundaries of vertex groups are
topologically embedded in $\partial_MG$.

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Language(s): eng - English
 Dates: 2022
 Publication Status: Issued
 Pages: 23
 Publishing info: -
 Table of Contents: -
 Rev. Type: Peer
 Identifiers: arXiv: 2109.12064
DOI: 10.2140/pjm.2022.317.339
 Degree: -

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Title: Pacific Journal of Mathematics
Source Genre: Journal
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Publ. Info: Mathematical Sceinces Publihers
Pages: - Volume / Issue: 317 (2) Sequence Number: - Start / End Page: 339 - 361 Identifier: -