Question

Unique factorization of free products of groups satisfying descending chain condition

score 109 · Answer 1 · 2023-02-05 21:16:04

109

Views

Unique factorization of free products of groups satisfying descending chain condition

Published on 05 Feb 2023 - 21:16

score 98 · Answer 2 · 2023-02-07 20:03:06

98

Views

Order of $xy$ in various quotients of the free product $G_1 * G_2$, where $x \in G_1, y \in G_2$ are nontrivial

Published on 07 Feb 2023 - 20:03

score 79 · Answer 3 · 2023-04-11 13:46:01

79

Views

Coalgebra structure on $T(V)=k\oplus V \oplus V\otimes V \oplus V^{\otimes 3}\oplus \cdots $

Published on 11 Apr 2023 - 13:46

score 103 · Answer 4 · 2023-04-12 22:50:18

103

Views

Understanding free product groups

Published on 12 Apr 2023 - 22:50

score 190 · Answer 5 · 2023-04-16 20:25:00

190

Views

Computation of Amalgamated Product $\mathbb{Z}_4 \ast_{\mathbb{Z}_2} \mathbb{Z}_6.$

Published on 16 Apr 2023 - 20:25

score 70 · Answer 6 · 2023-05-16 00:25:54

70

Views

Are the only finite orders of elements of this group in $\{p^k\mid k\in\Bbb N\cup\{0\}\}?$

Published on 16 May 2023 - 0:25

score 93 · Answer 7 · 2023-06-03 11:32:06

93

Views

HNN-extension and Centralizer

Published on 03 Jun 2023 - 11:32

score 106 · Answer 8 · 2023-06-04 11:01:24

106

Views

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

Published on 04 Jun 2023 - 11:01

score 135 · Answer 9 · 2023-06-04 15:12:43

135

Views

Proof of the Wirtinger Presentation using Van Kampen Theorem

Published on 04 Jun 2023 - 15:12

score 160 · Answer 10 · 2023-06-06 17:53:07

160

Views

Why doesn't the infinite dihedral group contain a free subgroup of rank 2?

Published on 06 Jun 2023 - 17:53

score 198 · Answer 11 · 2023-06-29 03:47:41

198

Views

How to prove $\mathbb Z^2 \ast \mathbb Z$ is quasi isometric to $\mathbb Z^2 \ast \mathbb Z^2$?

Published on 29 Jun 2023 - 3:47

score 62 · Answer 12 · 2023-07-25 05:35:33

62

Views

How to show direct sum of free product of groups is not isomorphic to free product of direct sum of groups?

Published on 25 Jul 2023 - 5:35

score 99 · Answer 13 · 2023-08-15 15:42:54

99

Views

Normalizer of Factors in an Amalgamated Free Product

Published on 15 Aug 2023 - 15:42

score 61 · Answer 14 · 2023-08-23 19:02:11

61

Views

System morphisms forming an amalgamated free product can be supposed to be injective

Published on 23 Aug 2023 - 19:02

score 124 · Answer 15 · 2026-03-25 07:59:41

124

Views

What is the index of $A\ast(ba)B(ba)^{-1}$ in $A\ast B$?

Published on 25 Mar 2026 - 7:59

List Question

Unique factorization of free products of groups satisfying descending chain condition

Order of $xy$ in various quotients of the free product $G_1 * G_2$, where $x \in G_1, y \in G_2$ are nontrivial

Coalgebra structure on $T(V)=k\oplus V \oplus V\otimes V \oplus V^{\otimes 3}\oplus \cdots $

Understanding free product groups

Computation of Amalgamated Product $\mathbb{Z}_4 \ast_{\mathbb{Z}_2} \mathbb{Z}_6.$

Are the only finite orders of elements of this group in $\{p^k\mid k\in\Bbb N\cup\{0\}\}?$

HNN-extension and Centralizer

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

Proof of the Wirtinger Presentation using Van Kampen Theorem

Why doesn't the infinite dihedral group contain a free subgroup of rank 2?

How to prove $\mathbb Z^2 \ast \mathbb Z$ is quasi isometric to $\mathbb Z^2 \ast \mathbb Z^2$?

How to show direct sum of free product of groups is not isomorphic to free product of direct sum of groups?

Normalizer of Factors in an Amalgamated Free Product

System morphisms forming an amalgamated free product can be supposed to be injective

What is the index of $A\ast(ba)B(ba)^{-1}$ in $A\ast B$?

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