List questions from group-isomorphism

Published on 11 Apr 2026 - 19:48

110

Views

$H,H'$ normal in $G,G'$ respectively and $G \cong G' $ and $H \cong H' $ $\implies$ $G/H \cong G'/H'$ ?

Published on 13 Apr 2026 - 3:37

5.7k

Views

All Isomorphic Classes of Abelian Groups of Order $n$

Published on 13 Apr 2026 - 20:55

4.5k

Views

Isomorphism between Direct Products of Cyclic Groups

Published on 11 May 2026 - 7:57

1k

Views

How is $Gal(\mathbb Q(\sqrt{2+\sqrt{2}})/\mathbb Q)\cong \mathbb Z/4\mathbb Z$?

Published on 15 Apr 2026 - 2:59

978

Views

Groups of U(n) and how they are isomorphic

Published on 11 Apr 2026 - 23:33

87

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Given three non abelian group of order 8,two must be isomorphic.

Published on 17 Apr 2026 - 6:35

177

Views

A group indecomposability question.

Published on 11 Apr 2026 - 20:17

433

Views

Showing ${G^n}$ is isomorphic to ${G/}$ ${G_n}$

Published on 17 Apr 2026 - 3:57

122

Views

Generalization of a property of finite nilpotent groups

Published on 10 May 2026 - 18:29

2.2k

Views

Isomorphism Type

Published on 16 Apr 2026 - 2:52

2.4k

Views

Proof of 3rd Isomorphism Theorem

Published on 12 Apr 2026 - 0:00

184

Views

Find an isomorphism

Published on 15 Apr 2026 - 4:21

123

Views

Show that a subgroup $K$ is normal

Published on 14 Apr 2026 - 21:22

380

Views

Group of units of End($\mathbb{Z}/_2 \oplus \mathbb{Z}/_2) \cong S_3$?

Published on 15 Apr 2026 - 19:18

List Question

Suppose that a function $f: G \to H$ is an isomorphism? Must f inverse be an isomorphism as well?

$H,H'$ normal in $G,G'$ respectively and $G \cong G' $ and $H \cong H' $ $\implies$ $G/H \cong G'/H'$ ?

All Isomorphic Classes of Abelian Groups of Order $n$

Isomorphism between Direct Products of Cyclic Groups

How is $Gal(\mathbb Q(\sqrt{2+\sqrt{2}})/\mathbb Q)\cong \mathbb Z/4\mathbb Z$?

Groups of U(n) and how they are isomorphic

Given three non abelian group of order 8,two must be isomorphic.

A group indecomposability question.

Showing ${G^n}$ is isomorphic to ${G/}$ ${G_n}$

Generalization of a property of finite nilpotent groups

Isomorphism Type

Proof of 3rd Isomorphism Theorem

Find an isomorphism

Show that a subgroup $K$ is normal

Group of units of End($\mathbb{Z}/_2 \oplus \mathbb{Z}/_2) \cong S_3$?

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