Intersection properties of stable subgroups and bounded cohomology

Yago Antolín; M. J. Mahan; Alessandro Sisto; Samuel J. Taylor

doi:10.1512/iumj.2019.68.7592

Intersection properties of stable subgroups and bounded cohomology

Yago Antolín, M. J. Mahan, Alessandro Sisto, Samuel J. Taylor

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

15 Citations (Scopus)

Abstract

We show that a finite collection of stable subgroups of a finitely generated group has finite height, finite width, and bounded packing. We then use knowledge about intersections of conjugates to characterize finite families of quasimorphisms on hyperbolically embedded subgroups that can be simultaneously extended to the ambient group.

Original language	English
Pages (from-to)	179-199
Number of pages	21
Journal	Indiana University Mathematics Journal
Volume	68
Issue number	1
DOIs	https://doi.org/10.1512/iumj.2019.68.7592
Publication status	Published - 2019

ASJC Scopus subject areas

General Mathematics

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10.1512/iumj.2019.68.7592

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title = "Intersection properties of stable subgroups and bounded cohomology",

abstract = "We show that a finite collection of stable subgroups of a finitely generated group has finite height, finite width, and bounded packing. We then use knowledge about intersections of conjugates to characterize finite families of quasimorphisms on hyperbolically embedded subgroups that can be simultaneously extended to the ambient group.",

author = "Yago Antol{\'i}n and Mahan, {M. J.} and Alessandro Sisto and Taylor, {Samuel J.}",

year = "2019",

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AU - Mahan, M. J.

AU - Sisto, Alessandro

AU - Taylor, Samuel J.

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AB - We show that a finite collection of stable subgroups of a finitely generated group has finite height, finite width, and bounded packing. We then use knowledge about intersections of conjugates to characterize finite families of quasimorphisms on hyperbolically embedded subgroups that can be simultaneously extended to the ambient group.

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DO - 10.1512/iumj.2019.68.7592

M3 - Article

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VL - 68

SP - 179

EP - 199

JO - Indiana University Mathematics Journal

JF - Indiana University Mathematics Journal

IS - 1

ER -

Intersection properties of stable subgroups and bounded cohomology

Abstract

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