List questions from geometric-group-theory

Published on 22 Mar 2026 - 17:48

472

Views

Does $SL_2(\mathbb{Z}[\sqrt{2}])$ have a finite presentation?

Published on 20 Mar 2026 - 0:10

88

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Making linear groups trivial by adding an equal number of generators and relations

Published on 23 Mar 2026 - 5:24

740

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Is There any quasi-isomorphism between $\mathbb{R}$ and $\mathbb{R}^2$?

Published on 23 Mar 2026 - 10:03

199

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Polynomially sized Folner sets

Published on 20 Mar 2026 - 3:01

394

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Boundary $\partial F_n$ of a free group $F_n$

Published on 22 Mar 2026 - 19:23

652

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Geodesic ray converges to infinity

Published on 23 Mar 2026 - 3:00

596

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Boundary of the Hyperbolic plane homeomorphic to S1

Published on 22 Mar 2026 - 18:42

460

Views

3D representation of A4 that preserves the unit ball

Published on 22 Mar 2026 - 17:40

231

Views

Finite index subgroups in Amalgamated Free products

Published on 22 Mar 2026 - 23:37

146

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automorphism of free group $F_n$ fixing $F_{n-1}$ and image of $n$th generator

Published on 22 Mar 2026 - 17:40

296

Views

Proving $yxy$ and $xyxyx$ generate a free subgroup of $\langle x, y \mid x^2, y^3 \rangle$.

Published on 25 Mar 2026 - 9:43

203

Views

The relation between semidirect products and HNN extensions

Published on 17 Mar 2026 - 11:39

130

Views

$\mathbb{R}$ with co-countable topology is not a topological group

Published on 21 Mar 2026 - 19:26

300

Views

Example where automorphism group of Cayley graph of $G$ is not $G$

Published on 25 Mar 2026 - 7:24

List Question

Clarification of proof of generating set from fundamental domain

Does $SL_2(\mathbb{Z}[\sqrt{2}])$ have a finite presentation?

Making linear groups trivial by adding an equal number of generators and relations

Is There any quasi-isomorphism between $\mathbb{R}$ and $\mathbb{R}^2$?

Polynomially sized Folner sets

Boundary $\partial F_n$ of a free group $F_n$

Geodesic ray converges to infinity

Boundary of the Hyperbolic plane homeomorphic to S1

3D representation of A4 that preserves the unit ball

Finite index subgroups in Amalgamated Free products

automorphism of free group $F_n$ fixing $F_{n-1}$ and image of $n$th generator

Proving $yxy$ and $xyxyx$ generate a free subgroup of $\langle x, y \mid x^2, y^3 \rangle$.

The relation between semidirect products and HNN extensions

$\mathbb{R}$ with co-countable topology is not a topological group

Example where automorphism group of Cayley graph of $G$ is not $G$

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