Question

Intuition of characteristic property of the free group

score 291 · Answer 1 · 2020-09-19 18:48:43

291

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Intuition of characteristic property of the free group

Published on 19 Sep 2020 - 18:48

score 1.1k · Answer 2 · 2020-10-14 23:20:47

1.1k

Views

Understanding the free product amalgamation with an example

Published on 14 Oct 2020 - 23:20

score 89 · Answer 3 · 2020-11-03 16:29:16

89

Views

$\mathbb{Z}\ast\mathbb{Z}\ast\mathbb{Z}$ is an index two subgroup of $\mathbb{Z}\ast\mathbb{Z}$

Published on 03 Nov 2020 - 16:29

score 314 · Answer 4 · 2020-11-09 22:45:21

314

Views

Quotient of amalgamated free product by normal subgroup

Published on 09 Nov 2020 - 22:45

score 529 · Answer 5 · 2020-11-19 00:39:35

529

Views

Showing that the free group of a disjoint union is isomorphic to the free product of the corresponding free groups

Published on 19 Nov 2020 - 0:39

score 35 · Answer 6 · 2020-12-02 18:24:11

35

Views

Why does no non-trivial reduced words in $H_1 \backslash \{e\} \sqcup H_2 \backslash \{e\}$ imply that $\left< H_1, H_2 \right> = H_1 \ast H_2$?

Published on 02 Dec 2020 - 18:24

score 33 · Answer 7 · 2020-12-15 16:35:49

33

Views

Homomorphisms between $\mathbb{Z} \star \mathbb{Z} $ and $\mathbb{Z} _2 $

Published on 15 Dec 2020 - 16:35

score 279 · Answer 8 · 2020-12-28 14:02:28

279

Views

Free groups as free product of infinite cyclic groups

Published on 28 Dec 2020 - 14:02

score 242 · Answer 9 · 2021-01-08 19:35:42

242

Views

Subgroup of $\mathbb{Z}\ast \mathbb{Z}$

Published on 08 Jan 2021 - 19:35

score 121 · Answer 10 · 2021-02-28 00:20:20

121

Views

Presentation of the amalgamated product of $G_1$ and $G_2$ above $H$ is $ \langle S_1,S_2\; ; \; R_1,R_2,\phi_1(s)\phi_{2}^{-1}(s),s \in S \rangle $

Published on 28 Feb 2021 - 0:20

score 79 · Answer 11 · 2026-03-25 15:43:40

79

Views

Are the central quotients of braid groups non-trivial free products?

Published on 25 Mar 2026 - 15:43

score 106 · Answer 12 · 2021-04-07 18:44:20

106

Views

Characterization of free product of groups by lifting property with respect to morphisms with right inverse

Published on 07 Apr 2021 - 18:44

score 95 · Answer 13 · 2021-04-14 13:43:07

95

Views

Free Products - representation of 1 by empty word is unique

Published on 14 Apr 2021 - 13:43

score 146 · Answer 14 · 2021-05-03 14:35:12

146

Views

Relation between finite residuals and free products.

Published on 03 May 2021 - 14:35

score 123 · Answer 15 · 2021-05-07 20:15:56

123

Views

Good introduction to free groups and free products

Published on 07 May 2021 - 20:15

List Question

Intuition of characteristic property of the free group

Understanding the free product amalgamation with an example

$\mathbb{Z}\ast\mathbb{Z}\ast\mathbb{Z}$ is an index two subgroup of $\mathbb{Z}\ast\mathbb{Z}$

Quotient of amalgamated free product by normal subgroup

Showing that the free group of a disjoint union is isomorphic to the free product of the corresponding free groups

Why does no non-trivial reduced words in $H_1 \backslash \{e\} \sqcup H_2 \backslash \{e\}$ imply that $\left< H_1, H_2 \right> = H_1 \ast H_2$?

Homomorphisms between $\mathbb{Z} \star \mathbb{Z} $ and $\mathbb{Z} _2 $

Free groups as free product of infinite cyclic groups

Subgroup of $\mathbb{Z}\ast \mathbb{Z}$

Presentation of the amalgamated product of $G_1$ and $G_2$ above $H$ is $ \langle S_1,S_2\; ; \; R_1,R_2,\phi_1(s)\phi_{2}^{-1}(s),s \in S \rangle $

Are the central quotients of braid groups non-trivial free products?

Characterization of free product of groups by lifting property with respect to morphisms with right inverse

Free Products - representation of 1 by empty word is unique

Relation between finite residuals and free products.

Good introduction to free groups and free products

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