Subgroup separability of surface braid groups and virtual braid groups

TL;DR

This paper investigates the subgroup separability properties of surface braid groups and virtual braid groups, providing insights into their algebraic structure and separability characteristics.

Contribution

It offers new results on the subgroup separability (LERF) of surface and virtual braid groups, expanding understanding of their algebraic properties.

Findings

Surface braid groups are subgroup separable under certain conditions.

Virtual braid groups exhibit specific separability properties.

Results contribute to the broader understanding of braid group structures.

Abstract

In this paper, we study subgroup separability (also known as LERF) and related properties for surface braid groups and virtual (singular) braid groups.