List questions from free-product

Published on 10 Aug 2018 - 20:59

307

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What is the product of two Gaussian random matrices?

Published on 25 Aug 2018 - 13:50

61

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What is the best book to learn : Free products with amalgamation.

Published on 07 Sep 2018 - 12:27

126

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How to compute Lower Central Series by hand for this simple example

Published on 09 Sep 2018 - 11:13

125

Views

Computing $\mathbb{Z} \ast_{\mathbb{Z}} \mathbb{Z}$

Published on 25 Mar 2026 - 7:39

40

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Some preliminary concepts for Rota-Baxter algebras

Published on 25 Mar 2026 - 6:01

578

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Fundamental group of theta-space and the doubly punctured theta space in Munkres Topology Example 70.1

Published on 11 Nov 2018 - 10:43

209

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Prove that doubly punctured theta space is contractible.

Published on 13 Nov 2018 - 14:27

279

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Direct sum of non-abelian groups doesn't satisfy the universal property of direct sum.

Published on 25 Mar 2026 - 7:46

142

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Showing that there is a surjective map from $\Bbb Z \ast \Bbb Z$ to $C_2 \ast C_3$ just using universal property of coproduct

Published on 08 Dec 2018 - 21:40

82

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project normal subgroup generated by a subgroup to its abelianization

Published on 06 Jan 2019 - 14:17

897

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Free subgroups of $PSL(2,\mathbb{Z})$ of index 6

Published on 19 Mar 2026 - 15:26

212

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Kernel of $G\ast H\to G\times H$ is free

Published on 26 Jan 2019 - 0:42

520

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Does there exist a group that is both a free product and a direct product of nontrivial groups?

Published on 12 Feb 2019 - 20:25

718

Views

Is the free product of residually finite groups always residually finite?

Published on 25 Mar 2026 - 11:04

List Question

Royal Road to Free Groups and Free Products

What is the product of two Gaussian random matrices?

What is the best book to learn : Free products with amalgamation.

How to compute Lower Central Series by hand for this simple example

Computing $\mathbb{Z} \ast_{\mathbb{Z}} \mathbb{Z}$

Some preliminary concepts for Rota-Baxter algebras

Fundamental group of theta-space and the doubly punctured theta space in Munkres Topology Example 70.1

Prove that doubly punctured theta space is contractible.

Direct sum of non-abelian groups doesn't satisfy the universal property of direct sum.

Showing that there is a surjective map from $\Bbb Z \ast \Bbb Z$ to $C_2 \ast C_3$ just using universal property of coproduct

project normal subgroup generated by a subgroup to its abelianization

Free subgroups of $PSL(2,\mathbb{Z})$ of index 6

Kernel of $G\ast H\to G\times H$ is free

Does there exist a group that is both a free product and a direct product of nontrivial groups?

Is the free product of residually finite groups always residually finite?

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