Trees of multidisks as Gromov boundaries of amalgamated products

Dominika Pawlik; Aleksander Zabłocki

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arXiv · 1602.00335

Trees of multidisks as Gromov boundaries of amalgamated products

Dominika Pawlik·Aleksander Zabłocki

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Abstract

We describe, under some additional technical assumptions, the Gromov boundary of the free product of several $G_i$'s amalgamated wrt. $H$, where $G_i$ are hyperbolic groups with boundary homeomorphic to a densely punctured $n$-sphere, and $H$ is their common subgroup corresponding to a peripheral sphere in each of the $\partial G_i$'s.

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BibTeX RIS

Dominika Pawlik, Aleksander Zabłocki. 2016-01-31. Trees of multidisks as Gromov boundaries of amalgamated products. https://arxiv.org/abs/1602.00335

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