Demonstrates local connectedness of Bowditch boundary in relatively hyperbolic groups, implying broader applications in group theory.
Let be a relatively hyperbolic group pair that is relatively one ended. Then, the Bowditch boundary of is locally connected. Bowditch previously established this conclusion under the additional assumption that all peripheral subgroups are finitely presented, either one or two ended, and contain no infinite torsion subgroups. We remove these restrictions; we make no restriction on the cardinality of and no restriction on the peripheral subgroups .
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Dasgupta et al. (2024) studied this question.
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