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On what finitely generated (left-orderable) simple groups can know about their subgroups

On what finitely generated (left-orderable) simple groups can know about their subgroups
On what finitely generated (left-orderable) simple groups can know about their subgroups
In this paper, we survey some of the recent advances on embeddings into finitely generated (left-orderable) simple group such that the overgroup preserves algorithmic, geometric, or algebraic information about the embedded group. We discuss some new consequences and also extend some of those embedding theorems to countable classes of finitely generated groups.
1285-2783
59-68
Société Mathématique de France
Darbinyan, Arman
b0ceeed9-a1e1-4bf3-a8d8-efafebebcc27
Skipper, Rachel
Chatterji, Indira
Darbinyan, Arman
b0ceeed9-a1e1-4bf3-a8d8-efafebebcc27
Skipper, Rachel
Chatterji, Indira

Darbinyan, Arman (2025) On what finitely generated (left-orderable) simple groups can know about their subgroups. Skipper, Rachel and Chatterji, Indira (eds.) In Geometric Methods in Group Theory: Papers Dedicated to Ruth Charney. vol. 34, Société Mathématique de France. pp. 59-68 .

Record type: Conference or Workshop Item (Paper)

Abstract

In this paper, we survey some of the recent advances on embeddings into finitely generated (left-orderable) simple group such that the overgroup preserves algorithmic, geometric, or algebraic information about the embedded group. We discuss some new consequences and also extend some of those embedding theorems to countable classes of finitely generated groups.

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Published date: 2025

Identifiers

Local EPrints ID: 503018
URI: http://eprints.soton.ac.uk/id/eprint/503018
ISSN: 1285-2783
PURE UUID: eee637fd-248d-4824-acbe-b16fba570641

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Date deposited: 16 Jul 2025 16:30
Last modified: 16 Jul 2025 16:30

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Contributors

Author: Arman Darbinyan
Editor: Rachel Skipper
Editor: Indira Chatterji

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