Question

Writing down a finite axiomatization of a group given by finite presentation

score 86 · Answer 1 · 2026-03-26 07:38:49

86

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Writing down a finite axiomatization of a group given by finite presentation

Published on 26 Mar 2026 - 7:38

score 165 · Answer 2 · 2026-03-26 07:30:52

165

Views

Determining whether two groups are isomorphic based on Wirtinger presentation

Published on 26 Mar 2026 - 7:30

score 121 · Answer 3 · 2026-03-26 07:38:47

121

Views

Normal subgroup of fundamental group of Klein Bottle

Published on 26 Mar 2026 - 7:38

score 61 · Answer 4 · 2026-03-25 09:28:13

61

Views

Equivalence of two presentations for a quotient of the braid group

Published on 25 Mar 2026 - 9:28

score 94 · Answer 5 · 2026-03-25 17:36:37

94

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HNN-extension and Centralizer

Published on 25 Mar 2026 - 17:36

score 107 · Answer 6 · 2026-03-25 19:05:02

107

Views

What is the free product with amalgamation with the trivial group?

Published on 25 Mar 2026 - 19:05

score 136 · Answer 7 · 2026-03-25 17:45:30

136

Views

Proof of the Wirtinger Presentation using Van Kampen Theorem

Published on 25 Mar 2026 - 17:45

score 126 · Answer 8 · 2026-03-26 09:16:22

126

Views

Does a presentation of a group correspond to a unique group?

Published on 26 Mar 2026 - 9:16

score 63 · Answer 9 · 2026-03-26 09:21:47

63

Views

If $\forall n\in\Bbb N$, if $g\in G$ with $|g|=n$ implies $\forall m\in\Bbb N,\exists h_m\in G,|h_m|=n^m,$ then can non-torsion-free $G$ be f.p.?

Published on 26 Mar 2026 - 9:21

score 92 · Answer 10 · 2026-03-25 07:44:01

92

Views

How to prove that a group affords no epimorphism in $S_3$

Published on 25 Mar 2026 - 7:44

score 75 · Answer 11 · 2026-03-26 09:18:07

75

Views

Presentation of Klein group: Show $G=\langle a,b\mid a^2,b^2,(ab)^2,(ba)^2,ab^2a\rangle$ is iso to $K_4=\langle x,y\mid x^2,y^2,xyx^{-1}y^{-1}\rangle$

Published on 26 Mar 2026 - 9:18

score 123 · Answer 12 · 2026-03-26 09:17:41

123

Views

When can we say $H$ is a subgroup of $G$ given their presentations?

Published on 26 Mar 2026 - 9:17

score 25 · Answer 13 · 2023-07-02 15:48:09

25

Views

What are the elements of the Dihedral Group $D_8$ when given by $D_8 = \langle a, b \mid a^2 = b^2 = (ab)^4=1\rangle?$

Published on 02 Jul 2023 - 15:48

score 197 · Answer 14 · 2026-03-26 09:26:20

197

Views

Is $\Bbb Z^3$ a one-relator group?

Published on 26 Mar 2026 - 9:26

score 62 · Answer 15 · 2026-03-26 09:18:10

62

Views

Show that every automorphism of $F_{20} = \langle a, b \mid a^5 = b^4 = 1, bab^{-1} = a^3\rangle $ is an inner automorphism

Published on 26 Mar 2026 - 9:18

List Question

Writing down a finite axiomatization of a group given by finite presentation

Determining whether two groups are isomorphic based on Wirtinger presentation

Normal subgroup of fundamental group of Klein Bottle

Equivalence of two presentations for a quotient of the braid group

HNN-extension and Centralizer

What is the free product with amalgamation with the trivial group?

Proof of the Wirtinger Presentation using Van Kampen Theorem

Does a presentation of a group correspond to a unique group?

If $\forall n\in\Bbb N$, if $g\in G$ with $|g|=n$ implies $\forall m\in\Bbb N,\exists h_m\in G,|h_m|=n^m,$ then can non-torsion-free $G$ be f.p.?

How to prove that a group affords no epimorphism in $S_3$

Presentation of Klein group: Show $G=\langle a,b\mid a^2,b^2,(ab)^2,(ba)^2,ab^2a\rangle$ is iso to $K_4=\langle x,y\mid x^2,y^2,xyx^{-1}y^{-1}\rangle$

When can we say $H$ is a subgroup of $G$ given their presentations?

What are the elements of the Dihedral Group $D_8$ when given by $D_8 = \langle a, b \mid a^2 = b^2 = (ab)^4=1\rangle?$

Is $\Bbb Z^3$ a one-relator group?

Show that every automorphism of $F_{20} = \langle a, b \mid a^5 = b^4 = 1, bab^{-1} = a^3\rangle $ is an inner automorphism

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