List questions from free-product

Published on 14 Apr 2026 - 2:47

310

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What is the product of two Gaussian random matrices?

Published on 10 Apr 2026 - 17:00

64

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

Published on 11 Apr 2026 - 1:59

129

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

Published on 14 Apr 2026 - 20:43

125

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

Published on 25 Mar 2026 - 7:39

42

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Some preliminary concepts for Rota-Baxter algebras

Published on 14 Apr 2026 - 6:15

581

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

Published on 15 Apr 2026 - 9:30

212

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Prove that doubly punctured theta space is contractible.

Published on 14 Apr 2026 - 9:26

281

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

Published on 13 Apr 2026 - 8:47

145

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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 15 Apr 2026 - 22:12

85

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project normal subgroup generated by a subgroup to its abelianization

Published on 12 Apr 2026 - 16:48

909

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

Published on 04 May 2026 - 23:26

215

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

Published on 12 Apr 2026 - 9:17

523

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

Published on 13 Apr 2026 - 15:41

720

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

Published on 12 Apr 2026 - 10:45

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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