List questions from combinatorial-group-theory

Published on 14 Sep 2020 - 20:33

75

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What is the structure of the group $\langle x, y \mid xy=yx, x^m = y^n \rangle$

Published on 17 Sep 2020 - 1:43

132

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Finitely presented group with intermediate Turing degree word problem

Published on 28 Sep 2020 - 18:08

94

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Sufficient conditions for a group to be a free group

Published on 29 Sep 2020 - 0:57

161

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Difficulty in proving that S_3 is isomorphic to the free group on two letters with the following relation:

Published on 30 Sep 2020 - 5:12

553

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Subgroups defined by negative formulas

Published on 03 Oct 2020 - 18:51

112

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Do elements $x^2$ and $y$ commute in group $G = \langle x,y \mid x^4, y^{10}, xyx^{-1}y^{-3} \rangle?$

Published on 12 Oct 2020 - 20:02

61

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Number of homomorphisms from $G = \langle x,y\mid x^{-1}yx=y^6\rangle$ to $S_5$

Published on 12 Oct 2020 - 22:07

289

Views

Which one of the following groups is isomorphic to the group $G\ $?

Published on 14 Oct 2020 - 6:50

186

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Prove that the given simple group can be generated by two elements.

Published on 15 Oct 2020 - 11:56

193

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(Yet) Another attempt at embedding free group on three letters inside a free group on two letters

Published on 16 Oct 2020 - 10:27

68

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Heuristic algorithm for finding optimal presentation of element in finite group

Published on 17 Oct 2020 - 3:15

55

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What is the conjugate of the relator in group representation?

Published on 18 Oct 2020 - 2:13

288

Views

Subgroups of index 2 in a genus-2 surface group

Published on 20 Oct 2020 - 22:54

65

Views

Length of a group presentation

Published on 21 Oct 2020 - 14:31

List Question

Schreier transversal and a basis for commutator subgroup of $F_3$

What is the structure of the group $\langle x, y \mid xy=yx, x^m = y^n \rangle$

Finitely presented group with intermediate Turing degree word problem

Sufficient conditions for a group to be a free group

Difficulty in proving that S_3 is isomorphic to the free group on two letters with the following relation:

Subgroups defined by negative formulas

Do elements $x^2$ and $y$ commute in group $G = \langle x,y \mid x^4, y^{10}, xyx^{-1}y^{-3} \rangle?$

Number of homomorphisms from $G = \langle x,y\mid x^{-1}yx=y^6\rangle$ to $S_5$

Which one of the following groups is isomorphic to the group $G\ $?

Prove that the given simple group can be generated by two elements.

(Yet) Another attempt at embedding free group on three letters inside a free group on two letters

Heuristic algorithm for finding optimal presentation of element in finite group

What is the conjugate of the relator in group representation?

Subgroups of index 2 in a genus-2 surface group

Length of a group presentation

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