Question

$U\leq G$ infinite subgroup, $H\leq G$ subgroup of finite index in $G$ $\Rightarrow$ $U\cap H\neq 1$

score 184 · Answer 1 · 2012-05-22 08:35:07

184

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$U\leq G$ infinite subgroup, $H\leq G$ subgroup of finite index in $G$ $\Rightarrow$ $U\cap H\neq 1$

Published on 22 May 2012 - 8:35

score 161 · Answer 2 · 2012-05-22 10:56:59

161

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JSJ-decompositions of groups and 3-manifolds: a reference request

Published on 22 May 2012 - 10:56

score 563 · Answer 3 · 2012-05-25 08:59:55

563

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When does the Commensurator of a subgroup of a group $G$ not equal $G$?

Published on 25 May 2012 - 8:59

score 385 · Answer 4 · 2012-05-28 17:01:00

385

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Baumslag-Solitar Group $G=\langle a,t \mid tat^{-1}=a^k\rangle\cong\mathbb{Z}[1/k]\rtimes\langle t\rangle$?

Published on 28 May 2012 - 17:01

score 88 · Answer 5 · 2012-05-29 08:24:22

88

Views

Nontrivial Splitting of a subgroup $H$ of a free product $G=A*B$

Published on 29 May 2012 - 8:24

score 1.7k · Answer 6 · 2012-06-05 20:33:14

1.7k

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Connections of Geometric Group Theory with other areas of mathematics.

Published on 05 Jun 2012 - 20:33

score 8.8k · Answer 7 · 2012-07-10 04:53:19

8.8k

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Normal subgroups of free groups: finitely generated $\implies$ finite index.

Published on 10 Jul 2012 - 4:53

score 866 · Answer 8 · 2012-08-09 08:25:48

866

Views

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Published on 09 Aug 2012 - 8:25

score 1k · Answer 9 · 2012-08-09 16:48:09

1k

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Groups quasi-isometric to $\mathbb{Z}^n$

Published on 09 Aug 2012 - 16:48

score 2.4k · Answer 10 · 2012-08-15 08:23:07

2.4k

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Cayley complex as universal covering space

Published on 15 Aug 2012 - 8:23

score 3.3k · Answer 11 · 2012-08-26 19:50:32

3.3k

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What is the intution behind the ping-pong lemma?

Published on 26 Aug 2012 - 19:50

score 1.1k · Answer 12 · 2012-09-10 10:00:23

1.1k

Views

The Bass-Serre tree for BS(1,2)

Published on 10 Sep 2012 - 10:00

score 87 · Answer 13 · 2026-03-26 09:40:24

87

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Published on 26 Mar 2026 - 9:40

score 833 · Answer 14 · 2026-02-23 09:46:33

833

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Published on 23 Feb 2026 - 9:46

score 53 · Answer 15 · 2012-09-23 12:16:39

53

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How to reconstruct a connected Lie group, from a given lattice in it?

Published on 23 Sep 2012 - 12:16

List Question

$U\leq G$ infinite subgroup, $H\leq G$ subgroup of finite index in $G$ $\Rightarrow$ $U\cap H\neq 1$

JSJ-decompositions of groups and 3-manifolds: a reference request

When does the Commensurator of a subgroup of a group $G$ not equal $G$?

Baumslag-Solitar Group $G=\langle a,t \mid tat^{-1}=a^k\rangle\cong\mathbb{Z}[1/k]\rtimes\langle t\rangle$?

Nontrivial Splitting of a subgroup $H$ of a free product $G=A*B$

Connections of Geometric Group Theory with other areas of mathematics.

Normal subgroups of free groups: finitely generated $\implies$ finite index.

How many small cancellation groups are there?

Groups quasi-isometric to $\mathbb{Z}^n$

Cayley complex as universal covering space

What is the intution behind the ping-pong lemma?

The Bass-Serre tree for BS(1,2)

The universal space of a Coxeter group

How strong is the statement that Thompson F is amenable?

How to reconstruct a connected Lie group, from a given lattice in it?

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