List questions from free-groups

Published on 23 Feb 2026 - 22:50

119

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What is the free abelian group on $\mathbb{N}$?

Published on 26 Mar 2026 - 23:09

87

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Free group on $\{x,y\}$ and Group $\mathbb Z\times \mathbb Z$

Published on 27 Mar 2026 - 14:39

76

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Equivalence of two elements of the free group under automorphisms?

Published on 27 Mar 2026 - 14:39

195

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Subsemigroup of free semigroup that is not free

Published on 29 Mar 2026 - 19:10

249

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For $N\unlhd G$ for $\mathfrak{B}$-group $G$ with $G/N$ a free $\mathfrak{B}$-group, show $\exists H\le G$ with $G=HN$ and $H\cap N=1$

Published on 24 Apr 2021 - 15:01

124

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Rank of a free group times a free abelian group.

Published on 27 Mar 2026 - 4:38

189

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Injective maps from free group on two generators

Published on 30 Apr 2021 - 15:04

285

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Whether a group containing a free group is also a free group

Published on 27 Mar 2026 - 16:16

75

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When does a RAAG act on a Tree?

Published on 29 Mar 2026 - 12:50

63

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Quotient of a free group on a set

Published on 27 Mar 2026 - 2:26

124

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Good introduction to free groups and free products

Published on 26 Mar 2026 - 2:54

155

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Proving that free group actions are faithful.

Published on 08 May 2021 - 3:53

57

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Prove or disprove $\langle a,b,c\rangle$ is free

Published on 25 Mar 2026 - 17:24

752

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J. J. Rotman's proof that two free groups are isomorphic iff they have the same rank

Published on 27 Mar 2026 - 16:15

List Question

Decidability of whether a set of matrices generate a free group.

What is the free abelian group on $\mathbb{N}$?

Free group on $\{x,y\}$ and Group $\mathbb Z\times \mathbb Z$

Equivalence of two elements of the free group under automorphisms?

Subsemigroup of free semigroup that is not free

For $N\unlhd G$ for $\mathfrak{B}$-group $G$ with $G/N$ a free $\mathfrak{B}$-group, show $\exists H\le G$ with $G=HN$ and $H\cap N=1$

Rank of a free group times a free abelian group.

Injective maps from free group on two generators

Whether a group containing a free group is also a free group

When does a RAAG act on a Tree?

Quotient of a free group on a set

Good introduction to free groups and free products

Proving that free group actions are faithful.

Prove or disprove $\langle a,b,c\rangle$ is free

J. J. Rotman's proof that two free groups are isomorphic iff they have the same rank

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