Question

Ways to guarantee that a group presentation defines a finite group when randomly generating group presentations

score 193 · Answer 1 · 2026-03-28 02:10:37

193

Views

Ways to guarantee that a group presentation defines a finite group when randomly generating group presentations

Published on 28 Mar 2026 - 2:10

score 113 · Answer 2 · 2026-03-29 16:30:23

113

Views

Is there surjective homomorphism of the fundamental group $\pi_1(\mathbb{R}^3 - 6_1^2)$ onto the dihedral group $D_{2\cdot 3}$ of $6$ elements?

Published on 29 Mar 2026 - 16:30

score 146 · Answer 3 · 2026-03-28 10:55:37

146

Views

Computing whether a particular finitely presented group is infinite with GAP

Published on 28 Mar 2026 - 10:55

score 103 · Answer 4 · 2022-08-06 13:46:57

103

Views

Doubt about two different approach to compute the fundamental group of closed orientable surface collapsed to a separating curve

Published on 06 Aug 2022 - 13:46

score 68 · Answer 5 · 2022-08-07 13:19:48

68

Views

How to define given conditions related to generators of groups on GAP

Published on 07 Aug 2022 - 13:19

score 129 · Answer 6 · 2022-08-14 09:48:44

129

Views

Isomorphism between two presentations of 6 order abelian group

Published on 14 Aug 2022 - 9:48

score 138 · Answer 7 · 2022-08-17 21:34:37

138

Views

Finding automorphism group of $\langle a,b\mid a^5=b^{11}=1,\ aba^{-1}=b^3\rangle.$

Published on 17 Aug 2022 - 21:34

score 76 · Answer 8 · 2026-03-29 18:34:22

76

Views

Doubt about the quotient of group $G=\langle a,b\mid a^2,b^2\rangle$ over $H=\langle a,(ab)^3\rangle$

Published on 29 Mar 2026 - 18:34

score 56 · Answer 9 · 2022-08-26 16:38:49

56

Views

Why is the normal subgroup the same as the group generated by the subset?

Published on 26 Aug 2022 - 16:38

score 180 · Answer 10 · 2026-03-29 16:32:10

180

Views

Prove that if $G=\langle r, s\mid r^n=s^2=1, rs=sr^{-1}\rangle$, then $|G|\geq 2n$.

Published on 29 Mar 2026 - 16:32

score 403 · Answer 11 · 2022-08-27 09:36:32

403

Views

How does one find all distinct elements of a group given by presentation?

Published on 27 Aug 2022 - 9:36

score 112 · Answer 12 · 2022-08-28 13:02:50

112

Views

What are some clever techniques to find a presentation of a group?

Published on 28 Aug 2022 - 13:02

score 72 · Answer 13 · 2022-08-29 14:27:49

72

Views

A presentation for $(\Bbb Z/2)^3$

Published on 29 Aug 2022 - 14:27

score 88 · Answer 14 · 2026-03-28 02:06:39

88

Views

in a group presentation, any (ex-post) relation can be obtained as an elment of the normal closure of a (prior) "maximal" set of relators?

Published on 28 Mar 2026 - 2:06

score 113 · Answer 15 · 2026-03-28 02:06:39

113

Views

How many elements of the form $a^{m_1} b^{n_1} a^{m_2} b^{n_2} a^{m_3} b^{n_3}$ in $G:=\langle a,b \mid a^2, b^4, (ab)^3 \rangle?$

Published on 28 Mar 2026 - 2:06

List Question

Ways to guarantee that a group presentation defines a finite group when randomly generating group presentations

Is there surjective homomorphism of the fundamental group $\pi_1(\mathbb{R}^3 - 6_1^2)$ onto the dihedral group $D_{2\cdot 3}$ of $6$ elements?

Computing whether a particular finitely presented group is infinite with GAP

Doubt about two different approach to compute the fundamental group of closed orientable surface collapsed to a separating curve

How to define given conditions related to generators of groups on GAP

Isomorphism between two presentations of 6 order abelian group

Finding automorphism group of $\langle a,b\mid a^5=b^{11}=1,\ aba^{-1}=b^3\rangle.$

Doubt about the quotient of group $G=\langle a,b\mid a^2,b^2\rangle$ over $H=\langle a,(ab)^3\rangle$

Why is the normal subgroup the same as the group generated by the subset?

Prove that if $G=\langle r, s\mid r^n=s^2=1, rs=sr^{-1}\rangle$, then $|G|\geq 2n$.

How does one find all distinct elements of a group given by presentation?

What are some clever techniques to find a presentation of a group?

A presentation for $(\Bbb Z/2)^3$

in a group presentation, any (ex-post) relation can be obtained as an elment of the normal closure of a (prior) "maximal" set of relators?

How many elements of the form $a^{m_1} b^{n_1} a^{m_2} b^{n_2} a^{m_3} b^{n_3}$ in $G:=\langle a,b \mid a^2, b^4, (ab)^3 \rangle?$

Trending Questions

Popular # Hahtags

Popular Questions