List questions from group-presentation

Published on 21 Mar 2026 - 22:05

126

Views

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

83

Views

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

Published on 23 Mar 2026 - 5:04

179

Views

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

275

Views

Is there an algorithm/method for actually drawing Van Kampen diagrams?

Published on 12 Mar 2018 - 15:39

373

Views

Free group and isomorphism

Published on 21 Mar 2026 - 23:18

62

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How do I prove that group determined by generators and relations is trivial?

Published on 10 Apr 2018 - 12:40

1.1k

Views

Presentations of Amalgamated Free Products of Two Groups.

Published on 22 Mar 2026 - 22:06

167

Views

Understanding groups that have a similar presentation as $S_n$

Published on 27 Apr 2018 - 15:21

452

Views

Proving that an element of a given group has an infinite order

Published on 27 Apr 2018 - 15:29

155

Views

Group size as a function of presentation length?

Published on 22 Mar 2026 - 11:11

89

Views

Prove that finite and infinite presentations of Thompson group $F$ are isomorphic.

Published on 23 Mar 2026 - 20:22

526

Views

Uniqueness of group given only group presentation

Published on 22 Mar 2026 - 14:07

971

Views

Defining Groups via the Universal Property

Published on 22 Mar 2026 - 4:07

185

Views

Is there an algorithm to solve all soluble group word problems?

Published on 06 May 2018 - 5:42

List Question

Presentations of subgroups

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

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

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

Is there an algorithm/method for actually drawing Van Kampen diagrams?

Free group and isomorphism

How do I prove that group determined by generators and relations is trivial?

Presentations of Amalgamated Free Products of Two Groups.

Understanding groups that have a similar presentation as $S_n$

Proving that an element of a given group has an infinite order

Group size as a function of presentation length?

Prove that finite and infinite presentations of Thompson group $F$ are isomorphic.

Uniqueness of group given only group presentation

Defining Groups via the Universal Property

Is there an algorithm to solve all soluble group word problems?

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