List questions from group-presentation

Published on 25 Aug 2019 - 18:27

547

Views

Reidemeister-Schreier rewriting process. How to find the appropriate transversal element?

Published on 25 Mar 2026 - 13:55

389

Views

If I kill any element $g$ of a group $G$ and as a result $G/\langle\langle g\rangle\rangle$ is killed, is $G$ then cyclic?

Published on 26 Aug 2019 - 18:31

486

Views

A question about dihedral group

Published on 02 Sep 2019 - 16:04

248

Views

Presentation of Alternating group of order n

Published on 25 Mar 2026 - 13:58

142

Views

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

Published on 21 Mar 2026 - 23:27

97

Views

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

Published on 21 Mar 2026 - 21:24

153

Views

Order of a group given group presentation.

Published on 11 Sep 2019 - 18:04

100

Views

Prove a group is equal to its commutator subgroup

Published on 21 Mar 2026 - 16:16

561

Views

Does my group generator have to be contained within the group it is generating

Published on 29 Sep 2019 - 3:12

245

Views

lamplighter group - presentation and relations

Published on 22 Mar 2026 - 14:04

142

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 22 Mar 2026 - 6:50

283

Views

Suppose $A=\langle a,b\mid ab^2a^{-1}b^{-3},ba^2b^{-1}a^{-3}\rangle.$ Show that $A \cong \{1\}$.

Published on 07 Apr 2014 - 13:56

151

Views

show trivial group

Published on 27 Apr 2014 - 4:25

1.4k

Views

Examples of non-finitely presented groups

Published on 22 Mar 2026 - 7:47

List Question

Present the group $\mathbb{Z}_{m} \times \mathbb{Z}_{n}$, where $\gcd(m, n) > 1$.

Reidemeister-Schreier rewriting process. How to find the appropriate transversal element?

If I kill any element $g$ of a group $G$ and as a result $G/\langle\langle g\rangle\rangle$ is killed, is $G$ then cyclic?

A question about dihedral group

Presentation of Alternating group of order n

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?

Order of a group given group presentation.

Prove a group is equal to its commutator subgroup

Does my group generator have to be contained within the group it is generating

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?

Suppose $A=\langle a,b\mid ab^2a^{-1}b^{-3},ba^2b^{-1}a^{-3}\rangle.$ Show that $A \cong \{1\}$.

show trivial group

Examples of non-finitely presented groups

Trending Questions

Popular # Hahtags

Popular Questions