List questions from combinatorial-group-theory

Published on 06 Jul 2020 - 0:03

74

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Equivalent (?) definition of the group presentation

Published on 06 Jul 2020 - 9:27

151

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Group action of the Baumslag-Solitar groups

Published on 08 Jul 2020 - 18:12

158

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Computing a presentation for the normal closure

Published on 09 Jul 2020 - 1:43

66

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Show relations in a group presentation hold "as non-trivially as possible"

Published on 13 Jul 2020 - 10:36

262

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A concrete definition of generalized quaternion group?

Published on 14 Jul 2020 - 10:35

134

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Let $G$ be a group with a free subgroup of rank $2$. Let $H\leq G$ be such that $[G:H]<\infty$. Then $H$ also contains a free subgroup of rank $2$.

Published on 16 Jul 2020 - 16:26

55

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$G= \langle a, b : a^{7} = b^{3} = 1,\ b^{-1}ab = a^{2} \rangle$ and commutator group

Published on 18 Jul 2020 - 17:29

179

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Are the terms of the derived series of finitely generated groups finitely normally generated?

Published on 22 Mar 2026 - 10:23

173

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Compute the order of each of the elements in $D_6$ where $D_{6}=\left\langle r, s \mid r^{3}=s^{2}=1, r s=s r^{-1}\right\rangle$

Published on 30 Jul 2020 - 15:21

112

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How to write $\Bbb Z_q\rtimes\Bbb Z_p$ as $\langle a,b\mid a^p=b^q=1,aba^{-1}=b^{i_0}\rangle?$

Published on 18 Mar 2026 - 6:24

295

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Automorphism group of Baumslag - Solitar group BS(1,2)

Published on 18 Mar 2026 - 8:50

275

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Inverse image of an endomorphism of a finite index subgroup.

Published on 18 Mar 2026 - 7:29

155

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How to convert one presentation into another? Please explain using a dihedral group as an example.

Published on 17 Mar 2026 - 19:30

210

Views

Algebraic geometry over groups: zero-divisors

Published on 17 Mar 2026 - 20:12

List Question

Generators of $O_8^+(2):\mathbb Z_2$

Equivalent (?) definition of the group presentation

Group action of the Baumslag-Solitar groups

Computing a presentation for the normal closure

Show relations in a group presentation hold "as non-trivially as possible"

A concrete definition of generalized quaternion group?

Let $G$ be a group with a free subgroup of rank $2$. Let $H\leq G$ be such that $[G:H]<\infty$. Then $H$ also contains a free subgroup of rank $2$.

$G= \langle a, b : a^{7} = b^{3} = 1,\ b^{-1}ab = a^{2} \rangle$ and commutator group

Are the terms of the derived series of finitely generated groups finitely normally generated?

Compute the order of each of the elements in $D_6$ where $D_{6}=\left\langle r, s \mid r^{3}=s^{2}=1, r s=s r^{-1}\right\rangle$

How to write $\Bbb Z_q\rtimes\Bbb Z_p$ as $\langle a,b\mid a^p=b^q=1,aba^{-1}=b^{i_0}\rangle?$

Automorphism group of Baumslag - Solitar group BS(1,2)

Inverse image of an endomorphism of a finite index subgroup.

How to convert one presentation into another? Please explain using a dihedral group as an example.

Algebraic geometry over groups: zero-divisors

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