Work

Product separability in central extensions

Year: 2026

Type: article

Abstract: We show that a central extension of a subgroup-separable locally quasiconvex hyperbolic group is product separable, so long as it is subgroup separable. We also establish that a central extension of a double coset separable group by a finitely generated group is double coset separable if and only if it is subgroup separable, and that double coset separability is stable under taking direct products with finitely generated nilpotent groups.

Source: Groups Geometry and Dynamics

DOI: 10.4171/ggd/998

Author: Lawk Mineh

Institution: University of Bonn

Language: English

Topic: Geometric and Algebraic Topology

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4414633030

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