List questions from combinatorial-group-theory

Published on 23 May 2020 - 9:48

177

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Klein Group in a combinatorics problem on checker board

Published on 25 Mar 2026 - 12:46

39

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Does a longest cycle contain maximum number of each generating element

Published on 25 May 2020 - 10:55

42

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Can a Hamiltonian cycle of an undirected Cayley graph contain inverses of the generating elements?

Published on 29 May 2020 - 19:45

177

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How to find the number of elements of order $p$.

Published on 25 Mar 2026 - 22:30

63

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Explicit presentation of a group

Published on 07 Jun 2020 - 15:30

123

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Let $G = \langle A,B,C,D\rangle$. If $\langle X,Y\rangle$ is free of rank $2$ for every $X\neq Y,X,Y\in \{A,B,C,D\}$, is $G$ free of rank $4$?

Published on 14 Jun 2020 - 0:07

27

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Finding the relationship given by the generating elements of a non-abelian group (for a maximum case)

Published on 14 Jun 2020 - 8:54

89

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Groups generated by a binary operation on a set that contains one member of each conjugacy

Published on 14 Jun 2020 - 19:43

310

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One missing step in proving $\mathbb{Z}\times \mathbb{Z} \cong \langle a,b\,|\, [a,b]=1\rangle$

Published on 16 Jun 2020 - 21:04

64

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Can the vertices of $20$-gon be labeled with $1, 2, ..., 20$ in such a way that sum of any $4$ consicutive numbers is less than $43$?

Published on 22 Jun 2020 - 6:49

110

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Identifying a group that originated from a Wirtinger presentation.

Published on 22 Jun 2020 - 9:56

479

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Solvable Nonnilpotent Baumslag-Solitar groups

Published on 30 Jun 2020 - 22:17

179

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Prove that if $\alpha$ is any cycle of length $n$, and $\beta$ is any transposition, then ${\alpha, \beta}$ generates $S_n$

Published on 01 Jul 2020 - 19:42

431

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Presentation for the product of two cyclic groups

Published on 05 Jul 2020 - 16:10

List Question

HNN-extension as amalgamated free product

Klein Group in a combinatorics problem on checker board

Does a longest cycle contain maximum number of each generating element

Can a Hamiltonian cycle of an undirected Cayley graph contain inverses of the generating elements?

How to find the number of elements of order $p$.

Explicit presentation of a group

Let $G = \langle A,B,C,D\rangle$. If $\langle X,Y\rangle$ is free of rank $2$ for every $X\neq Y,X,Y\in \{A,B,C,D\}$, is $G$ free of rank $4$?

Finding the relationship given by the generating elements of a non-abelian group (for a maximum case)

Groups generated by a binary operation on a set that contains one member of each conjugacy

One missing step in proving $\mathbb{Z}\times \mathbb{Z} \cong \langle a,b\,|\, [a,b]=1\rangle$

Can the vertices of $20$-gon be labeled with $1, 2, ..., 20$ in such a way that sum of any $4$ consicutive numbers is less than $43$?

Identifying a group that originated from a Wirtinger presentation.

Solvable Nonnilpotent Baumslag-Solitar groups

Prove that if $\alpha$ is any cycle of length $n$, and $\beta$ is any transposition, then ${\alpha, \beta}$ generates $S_n$

Presentation for the product of two cyclic groups

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