List questions from free-groups

Published on 26 Mar 2026 - 13:48

71

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Pushout of Z isomorphic to Z

Published on 22 Nov 2023 - 13:07

106

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Can the following proof calculus show that any finitely presented free group is free?

Published on 27 Mar 2026 - 0:05

70

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A free generating set $S$ of a free group $F$ has the smallest cardinality of the generating sets.

Published on 31 Dec 2023 - 14:59

30

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Checking the image of mapping class in $\text{Aut}(F_{2g})$ stabilizes boundary curve

Published on 25 Mar 2026 - 9:27

124

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Adding commutation rules to a free group?

Published on 12 Jan 2024 - 22:37

63

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Alternative proof that adding an additional square root of the identity to the free group on one generator results in a non-Abelian group

Published on 14 Jan 2024 - 1:24

119

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Faithful actions of the free group on two generators

Published on 14 Jan 2024 - 7:13

74

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Schreier basis of kernel of $F(G)\to G$ for $G$ a group

Published on 26 Mar 2026 - 15:16

64

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Can you determine the order of a generator in this group presentation?

Published on 26 Mar 2026 - 15:17

133

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Ways to show that words with exponent sum zero for each generator are elements of the commutator subgroup

Published on 26 Mar 2026 - 15:17

96

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$F_2\ltimes F_2^{2n-4}$ is a subgroup of $\mathrm{Aut}(F_n)$.

Published on 05 Feb 2024 - 11:17

78

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Is there an enumeration of finitely presented groups?

Published on 26 Mar 2026 - 15:17

38

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Covering space of compact surface with free fundamental group

Published on 21 Feb 2024 - 17:04

162

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A Conjecture in Low-Dimensional Topology.

Published on 24 Feb 2024 - 22:08

List Question

Presentation of Product Group

Pushout of Z isomorphic to Z

Can the following proof calculus show that any finitely presented free group is free?

A free generating set $S$ of a free group $F$ has the smallest cardinality of the generating sets.

Checking the image of mapping class in $\text{Aut}(F_{2g})$ stabilizes boundary curve

Adding commutation rules to a free group?

Alternative proof that adding an additional square root of the identity to the free group on one generator results in a non-Abelian group

Faithful actions of the free group on two generators

Schreier basis of kernel of $F(G)\to G$ for $G$ a group

Can you determine the order of a generator in this group presentation?

Ways to show that words with exponent sum zero for each generator are elements of the commutator subgroup

$F_2\ltimes F_2^{2n-4}$ is a subgroup of $\mathrm{Aut}(F_n)$.

Is there an enumeration of finitely presented groups?

Covering space of compact surface with free fundamental group

A Conjecture in Low-Dimensional Topology.

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