List questions from geometric-group-theory

Published on 28 Apr 2026 - 6:55

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Why is the Petersen graph no Cayley graph?

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A kind of pumping lemma for finitely generated groups

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Elliptic subgroup of $PSL(2,\mathbb C)$

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Fundamental group of a graph of groups

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Can we show that every subgroup of a free group is free using Kurosh's theorem?

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Which of these spaces below are quasi-isometric?

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125

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Just fundamental group of a graph of groups vs. fundamental group of a graph of groups with respect to a maximal subtree

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170

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Composition of isometries of trees which is loxodromic(hyperbolic) with nonempty intersection of axis.

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200

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What surfaces(manifolds) can be the boundary of hyperbolic groups?

Published on 07 May 2026 - 5:49

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Embedding of torsion free nilpotent group into Unitriangular matrix group $UT_n(\mathbb{Z})$

Published on 28 Apr 2026 - 6:57

295

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Free groups as HNN-extensions

Published on 28 Apr 2026 - 6:55

136

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Sharpness of the constant $1/6$ in Cancellation Theorem.

Published on 28 Apr 2026 - 6:55

573

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Differential Geometry or Functional Analysis?

Published on 28 Apr 2026 - 6:57

253

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Splitting over infinite subgroups

Published on 28 Apr 2026 - 6:55

List Question

Group Action of $SO(3)$ on unit sphere

Why is the Petersen graph no Cayley graph?

A kind of pumping lemma for finitely generated groups

Elliptic subgroup of $PSL(2,\mathbb C)$

Fundamental group of a graph of groups

Can we show that every subgroup of a free group is free using Kurosh's theorem?

Which of these spaces below are quasi-isometric?

Just fundamental group of a graph of groups vs. fundamental group of a graph of groups with respect to a maximal subtree

Composition of isometries of trees which is loxodromic(hyperbolic) with nonempty intersection of axis.

What surfaces(manifolds) can be the boundary of hyperbolic groups?

Embedding of torsion free nilpotent group into Unitriangular matrix group $UT_n(\mathbb{Z})$

Free groups as HNN-extensions

Sharpness of the constant $1/6$ in Cancellation Theorem.

Differential Geometry or Functional Analysis?

Splitting over infinite subgroups

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