List questions from hyperbolic-groups

129

Views

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

Published on 25 Mar 2026 - 11:15

617

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

Published on 23 Apr 2026 - 2:19

100

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Motivation for Hyperbolic Groups - Soft Question

Published on 01 Apr 2026 - 16:28

83

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Every proper and cobounded action is acylindrical.

Published on 25 Mar 2026 - 11:12

124

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

Published on 25 Mar 2026 - 14:22

81

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Hyperbolic groups are Hopfian

Published on 25 Apr 2026 - 8:43

95

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$\delta$-hyperbolic group is finitely presented

Published on 10 May 2026 - 16:09

32

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

Published on 15 Apr 2026 - 2:51

44

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

Published on 25 Mar 2026 - 11:01

59

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

Published on 25 Mar 2026 - 11:11

108

Views

Number of groups with a bounded short presentation

Published on 25 Mar 2026 - 11:11

146

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 05 May 2026 - 21:55

55

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

Published on 25 Mar 2026 - 11:15

197

Views

Representation of hyperbolas.

Published on 10 May 2026 - 9:29

167

Views

Modify a Dehn presentation

Published on 10 May 2026 - 16:07

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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