List questions from group-presentation

Published on 07 Jun 2016 - 8:36

222

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Is the group $G_{n,\phi} = \langle x_1 , \dots, x_n \mid x_i^2, (x_i x_j)^4, x_i x_{\phi(i)} x_{i+1} x_{\phi(i)} \rangle$ abelian?

Published on 25 Mar 2026 - 16:13

176

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What are the conjugacy classes of the group $\{k,r \,| \, k^3=r^2=(kr)^4=1\}$?

Published on 16 Jun 2016 - 10:39

131

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Finding presentations of (finite) metacyclic groups: Doubts about one of D. L. Johnson's books.

Published on 26 Mar 2026 - 18:40

217

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Finitely presented subgroup of finitely presented group

Published on 01 Jul 2016 - 12:03

2.2k

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Solving conjugacy equations in dihedral groups.

Published on 09 Apr 2013 - 18:05

77

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Proving that an element in an algebra presentation is nonzero

Published on 10 Apr 2013 - 5:01

737

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Dihedral group and cyclic group theorem.

Published on 11 Apr 2013 - 22:34

102

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Group presentation

Published on 12 Apr 2013 - 11:24

135

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Choosing central generator for nilpotent group generated by 3 elements

Published on 17 Apr 2013 - 14:57

118

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How to prove these two groups are isomorphic

Published on 21 Apr 2013 - 19:09

3.8k

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Definition of presentation of a group.

Published on 26 Mar 2026 - 18:40

158

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The automorphism of a group when given a group presentation

Published on 26 Mar 2026 - 21:54

175

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Permutation representation of group described by $a_i^2=\theta^2=1, a_ia_{i+1}=\theta a_{i+1}a_i=a_{i+2}$.

Published on 04 May 2013 - 21:51

3.4k

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Intuitive understanding of the Reidemeister-Schreier Theorem

Published on 26 Mar 2026 - 20:16

List Question

Symmetric group, Braid Groups, and related groups

Is the group $G_{n,\phi} = \langle x_1 , \dots, x_n \mid x_i^2, (x_i x_j)^4, x_i x_{\phi(i)} x_{i+1} x_{\phi(i)} \rangle$ abelian?

What are the conjugacy classes of the group $\{k,r \,| \, k^3=r^2=(kr)^4=1\}$?

Finding presentations of (finite) metacyclic groups: Doubts about one of D. L. Johnson's books.

Finitely presented subgroup of finitely presented group

Solving conjugacy equations in dihedral groups.

Proving that an element in an algebra presentation is nonzero

Dihedral group and cyclic group theorem.

Group presentation

Choosing central generator for nilpotent group generated by 3 elements

How to prove these two groups are isomorphic

Definition of presentation of a group.

The automorphism of a group when given a group presentation

Permutation representation of group described by $a_i^2=\theta^2=1, a_ia_{i+1}=\theta a_{i+1}a_i=a_{i+2}$.

Intuitive understanding of the Reidemeister-Schreier Theorem

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