Articles with "groups acting" as a keyword



Topological stability of relatively hyperbolic groups acting on their boundaries

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Published in 2024 at "Mathematische Zeitschrift"

DOI: 10.1007/s00209-025-03882-9

Abstract: We prove a topological stability result for the actions of relatively hyperbolic groups on their Bowditch boundaries. More precisely, we show that a sufficiently small perturbation of the standard boundary action, if assumed on each… read more here.

Keywords: stability; groups acting; acting boundaries; relatively hyperbolic ... See more keywords

GGS-groups acting on trees of growing degrees

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Published in 2024 at "Communications in Algebra"

DOI: 10.1080/00927872.2025.2525388

Abstract: Abstract We consider analogues of Grigorchuk-Gupta-Sidki (GGS-)groups acting on trees of growing degree; the so-called growing GGS-groups. These groups are not just infinite and do not possess the congruence subgroup property, but many of them… read more here.

Keywords: growing degrees; groups acting; trees growing; maximal subgroups ... See more keywords