List questions from group-theory

Published on 15 Apr 2026 - 0:15

19

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$g(i)$ homomorphisms and $g(z)=z^2$ and $g(z)=z^{-1}$ exercise

Published on 15 Apr 2026 - 6:41

75

Views

Intuitive understanding of $g^iH=(gH)^i$ factor groups

Published on 02 May 2026 - 18:27

203

Views

Torsion subgroup combined with normal subgroup!

Published on 10 May 2026 - 12:36

179

Views

Group and order.

Published on 29 Apr 2026 - 22:00

42

Views

$(\mathbb{Z}_4\times\mathbb{Z}_3)$ generator

Published on 09 Apr 2026 - 13:19

82

Views

Finding a homormorphism form $\mathbb{Z}/4\mathbb{Z}$ to $\mathbb{Z}/6\mathbb{Z}$

Published on 02 May 2026 - 23:52

2.7k

Views

What is tricky about proving the Nielsen–Schreier theorem?

Published on 17 Apr 2026 - 8:41

42

Views

A step in a proof of Neumann's coset coverings

Published on 12 Apr 2026 - 6:20

58

Views

Show that the element $φ(a)\in G'$ has also order d!

Published on 07 May 2026 - 17:32

681

Views

Exams exercise involving the permutation group $S_5$

Published on 03 May 2026 - 9:03

409

Views

Non-split central extension of Z by a finite simple non-abelian group

Published on 10 May 2026 - 11:21

92

Views

how to show that the group $(G,+)$ is abelian

Published on 29 Apr 2026 - 12:25

170

Views

Generators of multiplicative group

Published on 10 Apr 2026 - 23:26

89

Views

Help in understanding a certain group theory proof

Published on 09 Apr 2026 - 10:05

List Question

Relation between Centraliser of a and b

$g(i)$ homomorphisms and $g(z)=z^2$ and $g(z)=z^{-1}$ exercise

Intuitive understanding of $g^iH=(gH)^i$ factor groups

Torsion subgroup combined with normal subgroup!

Group and order.

$(\mathbb{Z}_4\times\mathbb{Z}_3)$ generator

Finding a homormorphism form $\mathbb{Z}/4\mathbb{Z}$ to $\mathbb{Z}/6\mathbb{Z}$

What is tricky about proving the Nielsen–Schreier theorem?

A step in a proof of Neumann's coset coverings

Show that the element $φ(a)\in G'$ has also order d!

Exams exercise involving the permutation group $S_5$

Non-split central extension of Z by a finite simple non-abelian group

how to show that the group $(G,+)$ is abelian

Generators of multiplicative group

Help in understanding a certain group theory proof

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