List questions from group-presentation

Published on 23 Mar 2026 - 13:53

192

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Automata defined by group presentations.

Published on 21 Mar 2026 - 6:17

49

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Terminology: reversing the order of the generators.

Published on 20 Mar 2026 - 4:04

290

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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

208

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Proof of a relation of Braid groups

Published on 20 Mar 2026 - 5:53

556

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Prove G is a nonabelian group of order 20

Published on 19 Mar 2026 - 22:07

292

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Is this specific group finite?

Published on 22 Mar 2026 - 4:59

286

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Isomorphy of simple groups of order 360 : a proof with a presentation

Published on 20 Mar 2026 - 5:04

87

Views

Centralizers of non-central elements of a special group

Published on 20 Mar 2026 - 19:11

218

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Find the group given the presentation

Published on 20 Mar 2026 - 5:56

472

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Does $SL_2(\mathbb{Z}[\sqrt{2}])$ have a finite presentation?

Published on 20 Mar 2026 - 0:10

80

Views

Finding $m,n,k$ for which $|G|=mn$ and $G$ is nonabelian, where $G$ is given by $\langle x,y\mid x^m=y^n=1,xy=yx^k\rangle$.

Published on 21 Mar 2026 - 22:59

305

Views

How to show that elements in these groups pairwise commute?

Published on 23 Mar 2026 - 4:01

279

Views

Classifying automorphisms using a group presentation.

Published on 22 Mar 2026 - 18:42

115

Views

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

Published on 22 Mar 2026 - 23:42

List Question

What is the intersection of the vertices of a face of a simplicial complex?

Automata defined by group presentations.

Terminology: reversing the order of the generators.

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

Proof of a relation of Braid groups

Prove G is a nonabelian group of order 20

Is this specific group finite?

Isomorphy of simple groups of order 360 : a proof with a presentation

Centralizers of non-central elements of a special group

Find the group given the presentation

Does $SL_2(\mathbb{Z}[\sqrt{2}])$ have a finite presentation?

Finding $m,n,k$ for which $|G|=mn$ and $G$ is nonabelian, where $G$ is given by $\langle x,y\mid x^m=y^n=1,xy=yx^k\rangle$.

How to show that elements in these groups pairwise commute?

Classifying automorphisms using a group presentation.

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

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