Question

Examples of Second Isomorphism Theorem for Groups

score 1.3k · Answer 1 · 2015-12-21 00:11:05

1.3k

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Examples of Second Isomorphism Theorem for Groups

Published on 21 Dec 2015 - 0:11

score 1k · Answer 2 · 2015-12-21 07:32:51

1k

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Does an isomorphism of groups that can be written as a direct product induce isomorphisms on the factors?

Published on 21 Dec 2015 - 7:32

score 45 · Answer 3 · 2026-04-02 06:12:12

45

Views

Find the $9$ subgroups of $S_4$ such that no group on your list is isomorphic.

Published on 02 Apr 2026 - 6:12

score 286 · Answer 4 · 2026-04-03 03:30:46

286

Views

Group Action and centraliser

Published on 03 Apr 2026 - 3:30

score 125 · Answer 5 · 2026-03-27 17:40:36

125

Views

Cech Homology Differentials?

Published on 27 Mar 2026 - 17:40

score 844 · Answer 6 · 2016-01-01 07:11:00

844

Views

Order of matrix and monic irreducible polynomial over finite field

Published on 01 Jan 2016 - 7:11

score 336 · Answer 7 · 2026-04-02 07:54:16

336

Views

Isomorphism between matrix groups and multiplicative cyclic group of finite field

Published on 02 Apr 2026 - 7:54

score 709 · Answer 8 · 2016-01-03 20:02:58

709

Views

Intuition behind the first isomorphism theorem

Published on 03 Jan 2016 - 20:02

score 3.8k · Answer 9 · 2026-04-02 09:52:46

3.8k

Views

Let G be a cyclic group of order 24 then what is the total number of isomorphism ofG onto itself ??

Published on 02 Apr 2026 - 9:52

score 373 · Answer 10 · 2016-01-12 00:27:43

373

Views

A criterion for isomorphism of finite abelian groups using fundamental theorem of finitely generated abelian groups

Published on 12 Jan 2016 - 0:27

score 66 · Answer 11 · 2016-01-13 01:41:32

66

Views

Existence of an isomorphism $\Bbb{Z}_{n}^{\times} \rightarrow \Bbb{Z}_{\phi(n)}^{+}$

Published on 13 Jan 2016 - 1:41

score 70 · Answer 12 · 2016-01-13 12:16:10

70

Views

$p$ be a prime number , $G$ be a group of order $p+1$ such that $\exists f \in Aut(G)$ of order $p$ , then is $G$ abelian and has prime exponent?

Published on 13 Jan 2016 - 12:16

score 1.2k · Answer 13 · 2016-01-17 15:48:31

1.2k

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Is the Dihedral Group of order $24$ isomorphic to the Symmetric Group on $4$ elements?

Published on 17 Jan 2016 - 15:48

score 496 · Answer 14 · 2026-03-27 03:42:25

496

Views

Which of these groups are isomorphic to each other?

Published on 27 Mar 2026 - 3:42

score 179 · Answer 15 · 2016-01-22 05:18:58

179

Views

Show that $K\triangleleft G$ and $G/K\cong\mathbb{R}^*\times\mathbb{R}$

Published on 22 Jan 2016 - 5:18

List Question

Examples of Second Isomorphism Theorem for Groups

Does an isomorphism of groups that can be written as a direct product induce isomorphisms on the factors?

Find the $9$ subgroups of $S_4$ such that no group on your list is isomorphic.

Group Action and centraliser

Cech Homology Differentials?

Order of matrix and monic irreducible polynomial over finite field

Isomorphism between matrix groups and multiplicative cyclic group of finite field

Intuition behind the first isomorphism theorem

Let G be a cyclic group of order 24 then what is the total number of isomorphism ofG onto itself ??

A criterion for isomorphism of finite abelian groups using fundamental theorem of finitely generated abelian groups

Existence of an isomorphism $\Bbb{Z}_{n}^{\times} \rightarrow \Bbb{Z}_{\phi(n)}^{+}$

$p$ be a prime number , $G$ be a group of order $p+1$ such that $\exists f \in Aut(G)$ of order $p$ , then is $G$ abelian and has prime exponent?

Is the Dihedral Group of order $24$ isomorphic to the Symmetric Group on $4$ elements?

Which of these groups are isomorphic to each other?

Show that $K\triangleleft G$ and $G/K\cong\mathbb{R}^*\times\mathbb{R}$

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