List questions from group-presentation

Published on 10 Apr 2026 - 19:44

133

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 07 May 2026 - 14:30

87

Views

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

Published on 07 May 2026 - 1:54

183

Views

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

Published on 24 Apr 2026 - 0:53

278

Views

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

Published on 13 Apr 2026 - 9:52

378

Views

Free group and isomorphism

Published on 23 Apr 2026 - 13:36

65

Views

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

Published on 10 Apr 2026 - 0:07

1.1k

Views

Presentations of Amalgamated Free Products of Two Groups.

Published on 06 May 2026 - 14:22

170

Views

Understanding groups that have a similar presentation as $S_n$

Published on 14 Apr 2026 - 20:32

455

Views

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

Published on 15 Apr 2026 - 20:33

158

Views

Group size as a function of presentation length?

Published on 14 Apr 2026 - 23:39

91

Views

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

Published on 25 Mar 2026 - 11:35

529

Views

Uniqueness of group given only group presentation

Published on 14 Apr 2026 - 10:57

978

Views

Defining Groups via the Universal Property

Published on 29 Apr 2026 - 12:54

188

Views

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

Published on 13 Apr 2026 - 14:54

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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