On surface subgroups of doubles of free groups
Cameron Gordon, Henry Wilton
TL;DR
This paper investigates conditions under which doubles of free groups along cyclic subgroups contain surface subgroups, contributing to understanding their subgroup structure.
Contribution
It provides new sufficient conditions for the existence of surface subgroups in doubles of free groups along cyclic subgroups.
Findings
Identifies multiple criteria ensuring surface subgroups exist
Advances knowledge on subgroup structure of free group doubles
Offers tools for constructing surface subgroups in specific cases
Abstract
We give several sufficient conditions for a double of a free group along a cyclic subgroup to contain a surface subgroup.
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