A note on separability in outer automorphism groups
Francesco Fournier-Facio

TL;DR
This paper provides a criterion for subgroup separability in outer automorphism groups, extending previous results on mapping class groups and answering open questions in the field.
Contribution
It introduces a new criterion for subgroup separability in outer automorphism groups, generalizing prior work on mapping class groups.
Findings
Established a criterion for subgroup separability in outer automorphism groups.
Extended and strengthened previous results on mapping class groups.
Addressed open questions posed by Hagen and Sisto.
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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Taxonomy
TopicsFinite Group Theory Research · Geometric and Algebraic Topology · Advanced Algebra and Geometry
