List questions from geometric-group-theory

Published on 26 Mar 2026 - 4:31

166

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Groups with two ends: showing that either $E\Delta gE$ is finite or $(E\Delta gE)^\complement$ is finite.

Published on 26 Mar 2026 - 4:32

318

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Hyperbolic structure on surface gives a complex structure

Published on 30 Jun 2020 - 0:58

223

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Applications of Tits' alternative in number theory

Published on 26 Mar 2026 - 4:33

135

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Let $G$ be a group with a free subgroup of rank $2$. Let $H\leq G$ be such that $[G:H]<\infty$. Then $H$ also contains a free subgroup of rank $2$.

Published on 26 Mar 2026 - 4:20

234

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Examples of hyperbolic groups that have boundary homeomorphic to $S^2$?

Published on 16 Mar 2026 - 21:23

94

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Embedding of the 1-skeleton of a Coxeter group into its Davis complex

Published on 25 Mar 2026 - 12:54

450

Views

Is the braid group hyperbolic?

Published on 25 Mar 2026 - 7:46

120

Views

Commensurability of two groups

Published on 07 Jul 2016 - 4:45

787

Views

Cyclically reduced words

Published on 26 Mar 2026 - 17:27

121

Views

Barycentre of bounded subset of hyperbolic space

Published on 25 Mar 2026 - 12:52

179

Views

If a group acts properly and coboundedly on a hyperbolic space, each finite subgroup has a (uniformly) bounded orbit.

Published on 25 Mar 2026 - 12:54

168

Views

Geodesic quadrangles in CAT($0$) spaces

Published on 25 Mar 2026 - 16:06

182

Views

A non-positively curved cube complex that admits a local isometric embedding into a Salvetti complex is special.

Published on 25 Mar 2026 - 12:54

157

Views

Geodesic Quadrangle in a Hyperbolic Space

Published on 25 Mar 2026 - 14:28

List Question

Geometric Group Theory, Meier lemma 11.30 about a two-ended groups $G$

Groups with two ends: showing that either $E\Delta gE$ is finite or $(E\Delta gE)^\complement$ is finite.

Hyperbolic structure on surface gives a complex structure

Applications of Tits' alternative in number theory

Let $G$ be a group with a free subgroup of rank $2$. Let $H\leq G$ be such that $[G:H]<\infty$. Then $H$ also contains a free subgroup of rank $2$.

Examples of hyperbolic groups that have boundary homeomorphic to $S^2$?

Embedding of the 1-skeleton of a Coxeter group into its Davis complex

Is the braid group hyperbolic?

Commensurability of two groups

Cyclically reduced words

Barycentre of bounded subset of hyperbolic space

If a group acts properly and coboundedly on a hyperbolic space, each finite subgroup has a (uniformly) bounded orbit.

Geodesic quadrangles in CAT($0$) spaces

A non-positively curved cube complex that admits a local isometric embedding into a Salvetti complex is special.

Geodesic Quadrangle in a Hyperbolic Space

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