A note on separability in outer automorphism groups

Abstract We give a criterion for separability of subgroups of certain outer automorphism groups. This answers questions of Hagen and Sisto, by strengthening and generalizing a result of theirs on mapping class groups.

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Publication Details

Journal
Proceedings of the Edinburgh Mathematical Society
Published
2025-02-04
DOI
https://doi.org/10.1017/s0013091525000045
Primary Topic
Geometric and Algebraic Topology
Type
article
Field-Weighted Citation Impact
0.00
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article

A note on separability in outer automorphism groups

Francesco Fournier-Facio
Proceedings of the Edinburgh Mathematical Society
Geometric and Algebraic Topology
article

A note on separability in outer automorphism groups

Francesco Fournier-Facio
article en

Abstract

Abstract We give a criterion for separability of subgroups of certain outer automorphism groups. This answers questions of Hagen and Sisto, by strengthening and generalizing a result of theirs on mapping class groups.

Proceedings of the Edinburgh Mathematical SocietyVol. 68(3)
University of Cambridge (GB)
Openalex Percentile: Top 95%
Geometric and Algebraic Topology
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A note on separability in outer automorphism groups — Francesco Fournier-Facio · Proceedings of the Edinburgh Mathematical Society (2025) | TGRS Research Map | TGRS