List questions from group-isomorphism

Published on 19 Oct 2014 - 9:12

108

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

Published on 28 Mar 2026 - 16:58

5.7k

Views

All Isomorphic Classes of Abelian Groups of Order $n$

Published on 29 Mar 2026 - 8:44

4.5k

Views

Isomorphism between Direct Products of Cyclic Groups

Published on 26 Mar 2026 - 9:48

1k

Views

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

Published on 31 Oct 2014 - 3:39

975

Views

Groups of U(n) and how they are isomorphic

Published on 01 Nov 2014 - 21:01

83

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

Published on 04 Nov 2014 - 11:32

174

Views

A group indecomposability question.

Published on 07 Nov 2014 - 1:01

430

Views

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

Published on 10 Nov 2014 - 1:44

120

Views

Generalization of a property of finite nilpotent groups

Published on 25 Mar 2026 - 3:04

2.2k

Views

Isomorphism Type

Published on 11 Nov 2014 - 15:49

2.4k

Views

Proof of 3rd Isomorphism Theorem

Published on 12 Nov 2014 - 0:53

181

Views

Find an isomorphism

Published on 12 Nov 2014 - 14:54

121

Views

Show that a subgroup $K$ is normal

Published on 29 Mar 2026 - 1:33

377

Views

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

Published on 13 Nov 2014 - 1:08

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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