List questions from combinatorial-group-theory

Published on 25 Mar 2026 - 7:49

456

Views

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

Published on 28 Apr 2026 - 6:57

267

Views

finding the order of an element in a group presentation

Published on 25 Mar 2026 - 7:43

437

Views

A finitely generated group that contains a subgroup which is not finitely generated.

Published on 25 Mar 2026 - 7:42

113

Views

Terminology: The group(s) of symmetries of the Cayley graph of a group.

Published on 23 Apr 2026 - 19:35

38

Views

Smith form for a matrix

Published on 30 Apr 2026 - 8:20

78

Views

Cancellation in a presentation of a group

Published on 01 Apr 2026 - 7:31

114

Views

Proving $U=U$ is derivable from any set of relators.

Published on 25 Mar 2026 - 7:43

180

Views

Show that the group $G=\langle a, b\mid a^3, b^3, c=b^{-1}a^{-1}ba, ac=ca, bc=cb\rangle$ has order $27$.

Published on 25 Mar 2026 - 3:03

663

Views

What is the abelianization of $\langle x,y,z\mid x^2=y^2z^2\rangle?$

Published on 25 Mar 2026 - 7:44

143

Views

How to prove that two groups with different presentations are isomorphic in a naive way?

Published on 25 Mar 2026 - 4:40

86

Views

on the order of derived subgroup

Published on 01 Apr 2026 - 10:16

172

Views

$G=\langle a,b \mid baba^{-1}=1\rangle$ Show that $\langle a \rangle$ is infinite

Published on 25 Mar 2026 - 4:39

125

Views

Computing $\mathbb{Z} \ast_{\mathbb{Z}} \mathbb{Z}$

Published on 25 Mar 2026 - 7:39

78

Views

Two presentations of a group, one certainly finite. Need the other be?

Published on 25 Mar 2026 - 6:05

List Question

When is a group isomorphic to the infinite cyclic group?

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

finding the order of an element in a group presentation

A finitely generated group that contains a subgroup which is not finitely generated.

Terminology: The group(s) of symmetries of the Cayley graph of a group.

Smith form for a matrix

Cancellation in a presentation of a group

Proving $U=U$ is derivable from any set of relators.

Show that the group $G=\langle a, b\mid a^3, b^3, c=b^{-1}a^{-1}ba, ac=ca, bc=cb\rangle$ has order $27$.

What is the abelianization of $\langle x,y,z\mid x^2=y^2z^2\rangle?$

How to prove that two groups with different presentations are isomorphic in a naive way?

on the order of derived subgroup

$G=\langle a,b \mid baba^{-1}=1\rangle$ Show that $\langle a \rangle$ is infinite

Computing $\mathbb{Z} \ast_{\mathbb{Z}} \mathbb{Z}$

Two presentations of a group, one certainly finite. Need the other be?

Trending Questions

Popular # Hahtags

Popular Questions