List questions from free-groups

Published on 18 Feb 2016 - 1:35

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Precise definition of free group

Published on 22 Feb 2016 - 16:12

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The conjugacy problem of finitely generated free group

Published on 25 Feb 2016 - 20:32

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The graph of free product group.

Published on 26 Feb 2016 - 5:19

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If I say $\{g_1,\dots,g_n\}$ freely generates a subgroup of $G$, does that mean the elements $g_i$ are all distinct?

Published on 28 Feb 2016 - 1:27

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Equivalence between two comeager sets related to free groups

Published on 28 Feb 2016 - 17:51

500

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Definitions of free monoids and free groups

Published on 29 Feb 2016 - 15:13

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Free group presentation

Published on 01 Mar 2016 - 6:47

240

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Let $G= G_1 * G_2$, where $G_1$ and $G_2$ are cyclic of orders $m$ and $n$. Then $m$ and $n$ are uniquely determined by $G$.

Published on 02 Mar 2016 - 3:43

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Homomorphism between free groups

Published on 26 Mar 2026 - 18:31

155

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Any countable free group is embeddable into a free group of rank $2$

Published on 03 Mar 2016 - 18:47

43

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Homomorphisms between two universal free groups

Published on 26 Mar 2026 - 22:50

49

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Relation between lower descending $\gamma_5(F)$ and derived $F"$ in a free group

Published on 07 Mar 2016 - 21:37

159

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What is the presentation of $\mathbb{Z}_n$

Published on 27 Mar 2026 - 14:28

69

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Free groups and homomorphisms

Published on 10 Mar 2016 - 11:25

List Question

What is the difference between free groups and a free product?

Precise definition of free group

The conjugacy problem of finitely generated free group

The graph of free product group.

If I say $\{g_1,\dots,g_n\}$ freely generates a subgroup of $G$, does that mean the elements $g_i$ are all distinct?

Equivalence between two comeager sets related to free groups

Definitions of free monoids and free groups

Free group presentation

Let $G= G_1 * G_2$, where $G_1$ and $G_2$ are cyclic of orders $m$ and $n$. Then $m$ and $n$ are uniquely determined by $G$.

Homomorphism between free groups

Any countable free group is embeddable into a free group of rank $2$

Homomorphisms between two universal free groups

Relation between lower descending $\gamma_5(F)$ and derived $F"$ in a free group

What is the presentation of $\mathbb{Z}_n$

Free groups and homomorphisms

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