List questions from combinatorial-group-theory

500

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Word metric on a finitely generated subgroup versus the word metric of its finitely generated parent

Published on 25 Mar 2026 - 15:52

143

Views

Using presentations, prove $\frac{\Bbb{Z} \times \Bbb{Z}}{\langle(3,3)\rangle}\cong\Bbb{Z} \times \Bbb{Z_3}$.

Published on 25 Mar 2026 - 15:53

98

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Is this a finitely generated subgroup of a finitely presented group?

Published on 25 Mar 2026 - 15:52

101

Views

Prove a group is equal to its commutator subgroup

Published on 25 Mar 2026 - 15:49

162

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Equivalent words in Braid groups

Published on 10 May 2026 - 12:12

105

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Reference for an exercise in free groups

Published on 25 Mar 2026 - 15:54

45

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Suggestions to understand complexities

Published on 10 May 2026 - 12:12

328

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Conjugacy classes in free groups

Published on 25 Mar 2026 - 15:54

239

Views

Free normal subgroup of an HNN-extension

Published on 10 May 2026 - 14:48

246

Views

lamplighter group - presentation and relations

Published on 25 Mar 2026 - 15:48

143

Views

Given a set of generators of a group $G$, is there a method to find a presentation for $G$ using those generators?

Published on 25 Mar 2026 - 15:51

1.4k

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Examples of non-finitely presented groups

Published on 25 Mar 2026 - 15:49

189

Views

Presentations that make the Todd-Coxeter algorithm blow up

Published on 25 Mar 2026 - 15:48

119

Views

Is there a standard group presentation for the group of units $U(n)$ modulo $n$?

Published on 25 Mar 2026 - 15:52

501

Views

Tits Alternative for Hyperbolic Groups: A Reference Request.

Published on 25 Mar 2026 - 15:54

List Question

Word metric on a finitely generated subgroup versus the word metric of its finitely generated parent

Using presentations, prove $\frac{\Bbb{Z} \times \Bbb{Z}}{\langle(3,3)\rangle}\cong\Bbb{Z} \times \Bbb{Z_3}$.

Is this a finitely generated subgroup of a finitely presented group?

Prove a group is equal to its commutator subgroup

Equivalent words in Braid groups

Reference for an exercise in free groups

Suggestions to understand complexities

Conjugacy classes in free groups

Free normal subgroup of an HNN-extension

lamplighter group - presentation and relations

Given a set of generators of a group $G$, is there a method to find a presentation for $G$ using those generators?

Examples of non-finitely presented groups

Presentations that make the Todd-Coxeter algorithm blow up

Is there a standard group presentation for the group of units $U(n)$ modulo $n$?

Tits Alternative for Hyperbolic Groups: A Reference Request.

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