List questions from hyperbolic-groups

128

Views

Proof that finite symmetrized relator sets, which are $C'(1/6)$, with equal normal closures are unique

Published on 12 Jan 2017 - 2:09

602

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G a group, H a subgroup of finite index. Proof that G is hyperbolic $\Leftrightarrow$ H is hyperbolic?

Published on 22 Mar 2026 - 1:05

98

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Motivation for Hyperbolic Groups - Soft Question

Published on 05 Feb 2023 - 15:46

82

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Every proper and cobounded action is acylindrical.

Published on 11 Apr 2023 - 22:30

123

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Definition of hyperbolic elements and axes in a (limit) group

Published on 02 Jun 2023 - 7:26

75

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Hyperbolic groups are Hopfian

Published on 23 Feb 2026 - 13:33

93

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$\delta$-hyperbolic group is finitely presented

Published on 07 Aug 2023 - 6:25

29

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Gromov product and distance from a vertex to the opposite line of triangle

Published on 23 Feb 2026 - 10:05

43

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Quasi-geodesic rays are closed to geodesic rays in proper hyperbolic geodesic spaces

Published on 09 Sep 2023 - 16:08

58

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How is Conway numbering the hyperbolic groups in his Table 18.1?

Published on 21 Oct 2023 - 2:24

107

Views

Number of groups with a bounded short presentation

Published on 02 Nov 2023 - 18:18

143

Views

Is the fundamental group of a closed orientable hyperbolic $3$-manifold isomorphic to a non-discrete subgroup of $\mathrm{PSL}(2, \mathbb{C})$?

Published on 22 Nov 2023 - 23:25

54

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Dehn presentation implies finitely many conjugacy classes of elements of finite order

Published on 23 Nov 2023 - 21:11

194

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Representation of hyperbolas.

Published on 27 Jun 2015 - 20:38

164

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Modify a Dehn presentation

Published on 19 Feb 2016 - 12:03

List Question

Proof that finite symmetrized relator sets, which are $C'(1/6)$, with equal normal closures are unique

G a group, H a subgroup of finite index. Proof that G is hyperbolic $\Leftrightarrow$ H is hyperbolic?

Motivation for Hyperbolic Groups - Soft Question

Every proper and cobounded action is acylindrical.

Definition of hyperbolic elements and axes in a (limit) group

Hyperbolic groups are Hopfian

$\delta$-hyperbolic group is finitely presented

Gromov product and distance from a vertex to the opposite line of triangle

Quasi-geodesic rays are closed to geodesic rays in proper hyperbolic geodesic spaces

How is Conway numbering the hyperbolic groups in his Table 18.1?

Number of groups with a bounded short presentation

Is the fundamental group of a closed orientable hyperbolic $3$-manifold isomorphic to a non-discrete subgroup of $\mathrm{PSL}(2, \mathbb{C})$?

Dehn presentation implies finitely many conjugacy classes of elements of finite order

Representation of hyperbolas.

Modify a Dehn presentation

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