List questions from combinatorial-group-theory

Published on 25 Mar 2026 - 4:38

80

Views

Criterion for a Finitely Presented Group

Published on 22 Mar 2026 - 6:41

120

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Is there an English translation of the German book "Einführung in die Kombinatorische und die Geometrische Gruppentheorie"?

Published on 19 Mar 2026 - 14:45

120

Views

The (un)decidability of the Tits Alternative for any given (suitably defined) set of groups.

Published on 23 Feb 2026 - 1:22

148

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Kropholler's Type of Tits Alternative for Generalised Baumslag-Solitar Groups.

Published on 22 Mar 2026 - 0:10

210

Views

What is a presentation of the upper triangular subgroup of $GL(2, \mathbb Q)$?

Published on 25 Mar 2026 - 6:03

311

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How to show that $\langle a,b \mid aba^{-1}ba = bab^{-1}ab\rangle$ is not Abelian?

Published on 21 Mar 2026 - 17:04

290

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Free groups are residually of rank 2

Published on 22 Mar 2026 - 3:16

49

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Identifying a group involving transformation of 4 integers

Published on 21 Mar 2026 - 21:21

375

Views

Why study "virtual properties"?

Published on 22 Mar 2026 - 1:46

87

Views

Derived subgroup of $\langle{x,y\,|\, x^p=y^{p^{n-1}}=1,\,{{x^{-1}}{yx}}={y^{1+p^{n-2}}}}\rangle$.

Published on 25 Mar 2026 - 6:06

583

Views

A proof that $\langle u,v\mid u^4=v^3=1, uv=v^2u^2\rangle$ defines the trivial group.

Published on 25 Mar 2026 - 6:04

152

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How do I turn a group presentation into a multiplication table?

Published on 22 Mar 2026 - 5:22

58

Views

Could $\langle \Gamma | R \rangle \cong \langle \Gamma | S\rangle$ if $\langle R\rangle \subsetneq \langle S\rangle$?

Published on 22 Mar 2026 - 1:56

303

Views

What is an algorithm for determining if a finitely presented group is finite

Published on 22 Mar 2026 - 3:50

List Question

Rubiks Cube function -- how many configurations reachable in n moves.

Criterion for a Finitely Presented Group

Is there an English translation of the German book "Einführung in die Kombinatorische und die Geometrische Gruppentheorie"?

The (un)decidability of the Tits Alternative for any given (suitably defined) set of groups.

Kropholler's Type of Tits Alternative for Generalised Baumslag-Solitar Groups.

What is a presentation of the upper triangular subgroup of $GL(2, \mathbb Q)$?

How to show that $\langle a,b \mid aba^{-1}ba = bab^{-1}ab\rangle$ is not Abelian?

Free groups are residually of rank 2

Identifying a group involving transformation of 4 integers

Why study "virtual properties"?

Derived subgroup of $\langle{x,y\,|\, x^p=y^{p^{n-1}}=1,\,{{x^{-1}}{yx}}={y^{1+p^{n-2}}}}\rangle$.

A proof that $\langle u,v\mid u^4=v^3=1, uv=v^2u^2\rangle$ defines the trivial group.

How do I turn a group presentation into a multiplication table?

Could $\langle \Gamma | R \rangle \cong \langle \Gamma | S\rangle$ if $\langle R\rangle \subsetneq \langle S\rangle$?

What is an algorithm for determining if a finitely presented group is finite

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