List questions from free-groups

Published on 22 Mar 2026 - 13:59

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How to show that elements in these groups pairwise commute?

Published on 24 Mar 2026 - 22:08

306

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Group homomorphism between free groups

Published on 22 Mar 2026 - 8:40

93

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An algorithm determining whether two subgroups of a free group are automorphic

Published on 22 Mar 2026 - 20:43

117

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What is the name of this normal subgroup of the free group?

Published on 24 Mar 2026 - 22:18

111

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components of subgraph determine subgroups up to conjugacy

Published on 17 Mar 2018 - 13:56

376

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Is there a link between free actions and free groups?

Published on 22 Mar 2026 - 14:52

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Free group generated by two generators is isomorphic to product of two infinite cyclic groups

Published on 25 Mar 2026 - 6:05

102

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Free Nilpotent Semigroup

Published on 20 Mar 2026 - 6:05

65

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Prove that a certain element of the commutator subgroup of $F_4$ is not a commutator

Published on 25 Mar 2026 - 4:41

282

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Homomorphisms of $\mathbb{F}_2$ that preserve $aba^{-1}b^{-1}$

Published on 25 Mar 2026 - 4:41

86

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Free group quotient isomorphic to $\mathbb{Z}^n/m\mathbb{Z}^n$

Published on 17 Apr 2018 - 8:01

250

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A set of generators is a $\mathbb{Z}-$basis for a free abelian group

Published on 20 Apr 2018 - 16:15

222

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$F_n$ cannot be generated by fewer than $n$ elements

Published on 21 Apr 2018 - 14:36

146

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automorphism of free group $F_n$ fixing $F_{n-1}$ and image of $n$th generator

Published on 22 Mar 2026 - 17:40

List Question

Von Dyck's Theorem about free groups

How to show that elements in these groups pairwise commute?

Group homomorphism between free groups

An algorithm determining whether two subgroups of a free group are automorphic

What is the name of this normal subgroup of the free group?

components of subgraph determine subgroups up to conjugacy

Is there a link between free actions and free groups?

Free group generated by two generators is isomorphic to product of two infinite cyclic groups

Free Nilpotent Semigroup

Prove that a certain element of the commutator subgroup of $F_4$ is not a commutator

Homomorphisms of $\mathbb{F}_2$ that preserve $aba^{-1}b^{-1}$

Free group quotient isomorphic to $\mathbb{Z}^n/m\mathbb{Z}^n$

A set of generators is a $\mathbb{Z}-$basis for a free abelian group

$F_n$ cannot be generated by fewer than $n$ elements

automorphism of free group $F_n$ fixing $F_{n-1}$ and image of $n$th generator

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