List questions from combinatorial-group-theory

Published on 31 Dec 2020 - 7:35

50

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Generators of free groups are really generators

Published on 31 Dec 2020 - 14:13

309

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How to find free generators of a subgroup generated by conjugates of certain elements

Published on 31 Dec 2020 - 21:31

188

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Cayley graphs obtained for different generating elements with the same orders in a finite group

Published on 26 Mar 2026 - 14:19

60

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Equivalent condition of the following group presentation to give a group of order $mn$

Published on 07 Jan 2021 - 12:13

51

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Equivalent condition of the following group presentation to give a group of order $mn$; the other side

Published on 08 Jan 2021 - 8:42

56

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Cardinality of the equivalence class of a given braid word?

Published on 25 Mar 2026 - 15:43

402

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Need help understanding what is a free factor of a free group.

Published on 19 Jan 2021 - 17:08

158

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Prove that some group is infinite based on its presentation.

Published on 29 Jan 2021 - 19:38

281

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On normal forms of group elements

Published on 30 Jan 2021 - 9:57

163

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Does every finite group $G$ have a set of generators such that the sum of the orders of the generators is less than or equal to $|G|$?

Published on 31 Jan 2021 - 16:05

34

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Why do certain relatively free groups have perfect commutator subgroups?

Published on 23 Feb 2026 - 5:50

100

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Group $G =\langle a, b\rangle$ with $a^{p^m}=b^{p^r}=1$ and $b^{-1}ab=a^n$ has commuting subgroups.

Published on 09 Feb 2021 - 19:30

94

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what is the group $\langle a,b,c,d,e\mid cde=1\rangle$?

Published on 11 Feb 2021 - 3:47

89

Views

On 'proving' that $\langle x,y_1,\ldots,y_n | [x, y_1 \cdots y_n] = 1 \rangle \simeq \mathbb Z^2$.

Published on 11 Feb 2021 - 6:44

List Question

When two elements of a group generate the same subgroup

Generators of free groups are really generators

How to find free generators of a subgroup generated by conjugates of certain elements

Cayley graphs obtained for different generating elements with the same orders in a finite group

Equivalent condition of the following group presentation to give a group of order $mn$

Equivalent condition of the following group presentation to give a group of order $mn$; the other side

Cardinality of the equivalence class of a given braid word?

Need help understanding what is a free factor of a free group.

Prove that some group is infinite based on its presentation.

On normal forms of group elements

Does every finite group $G$ have a set of generators such that the sum of the orders of the generators is less than or equal to $|G|$?

Why do certain relatively free groups have perfect commutator subgroups?

Group $G =\langle a, b\rangle$ with $a^{p^m}=b^{p^r}=1$ and $b^{-1}ab=a^n$ has commuting subgroups.

what is the group $\langle a,b,c,d,e\mid cde=1\rangle$?

On 'proving' that $\langle x,y_1,\ldots,y_n | [x, y_1 \cdots y_n] = 1 \rangle \simeq \mathbb Z^2$.

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