List questions from combinatorial-group-theory

Published on 23 Mar 2026 - 12:24

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Is there a general way to simplify such group presentations (Free Abelian Group with Relations)?

Published on 20 Mar 2026 - 8:42

288

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The context & motivation for the Tits alternative in combinatorial group theory

Published on 20 Mar 2026 - 7:39

556

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Prove G is a nonabelian group of order 20

Published on 19 Mar 2026 - 22:07

88

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Making linear groups trivial by adding an equal number of generators and relations

Published on 23 Mar 2026 - 5:24

93

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

Published on 22 Mar 2026 - 20:43

126

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If the deficiency of a presentation $P$ is $0$ and $P$ is aspherical, then the deficiency of the group $P$ defines is $0$.

Published on 22 Mar 2026 - 18:45

231

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Solution book for "Presentations of Groups" by D. L. Johnson

Published on 22 Mar 2026 - 16:48

83

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Notational confusion about HNN-extensions: $G=K \ast_{H,t}$.

Published on 23 Mar 2026 - 5:04

179

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What is this group $G=\langle a,b,c\mid a^2=1, b^2=1, c^2=ab\rangle$

Published on 22 Mar 2026 - 23:28

121

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Equivalance of surjections from a surface group to a free group

Published on 25 Mar 2026 - 3:54

888

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Book Recommendations: Combinatorial Group Theory and Topological Prerequisites.

Published on 25 Mar 2026 - 6:01

374

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Free group and isomorphism

Published on 25 Mar 2026 - 4:36

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

Views

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

Published on 25 Mar 2026 - 4:41

List Question

Putnam 2016 Question A5 Finite Group Theory

Is there a general way to simplify such group presentations (Free Abelian Group with Relations)?

The context & motivation for the Tits alternative in combinatorial group theory

Prove G is a nonabelian group of order 20

Making linear groups trivial by adding an equal number of generators and relations

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

If the deficiency of a presentation $P$ is $0$ and $P$ is aspherical, then the deficiency of the group $P$ defines is $0$.

Solution book for "Presentations of Groups" by D. L. Johnson

Notational confusion about HNN-extensions: $G=K \ast_{H,t}$.

What is this group $G=\langle a,b,c\mid a^2=1, b^2=1, c^2=ab\rangle$

Equivalance of surjections from a surface group to a free group

Book Recommendations: Combinatorial Group Theory and Topological Prerequisites.

Free group and isomorphism

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

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

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