Question

Explanation/How to use the Lattice isomorphism theorem

score 6.6k · Answer 1 · 2013-07-13 03:20:38

6.6k

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Explanation/How to use the Lattice isomorphism theorem

Published on 13 Jul 2013 - 3:20

score 92 · Answer 2 · 2026-03-27 19:08:23

92

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Symmetric group isomorphism

Published on 27 Mar 2026 - 19:08

score 2.4k · Answer 3 · 2013-09-12 08:52:09

2.4k

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Is a bijective map between two groups always an isomorphism?

Published on 12 Sep 2013 - 8:52

score 3.2k · Answer 4 · 2026-03-27 13:48:32

3.2k

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Is any subgroup of a direct product isomorphic to a direct product of subgroups?

Published on 27 Mar 2026 - 13:48

score 8.1k · Answer 5 · 2013-11-14 17:37:31

8.1k

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Prove $GL_2(\mathbb{Z}/2\mathbb{Z})$ is isomorphic to $S_3$

Published on 14 Nov 2013 - 17:37

score 35 · Answer 6 · 2013-11-26 14:09:56

35

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Construction of an isomorphism between certain subgroups of $GL_2(\mathbb{C})$ and $S_4.$

Published on 26 Nov 2013 - 14:09

score 1.2k · Answer 7 · 2013-12-21 01:43:36

1.2k

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If $\lvert\operatorname{Hom}(H,G_1)\rvert = \lvert\operatorname{Hom}(H,G_2)\rvert$ for any $H$ then $G_1 \cong G_2$

Published on 21 Dec 2013 - 1:43

score 40.2k · Answer 8 · 2013-12-28 16:20:49

40.2k

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Prove that the additive groups $\mathbb{Z}$ and $\mathbb{Q}$ are not isomorphic.

Published on 28 Dec 2013 - 16:20

score 590 · Answer 9 · 2014-02-19 22:05:42

590

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Is the group of invertible elements in $\mathbb{Z}/8\mathbb{Z}$ isomorphic to $\mathbb{Z}/4\mathbb{Z}$ or to the symmetry group of the rectangle?

Published on 19 Feb 2014 - 22:05

score 5.1k · Answer 10 · 2014-02-27 20:56:32

5.1k

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groups with same number of elements of each order

Published on 27 Feb 2014 - 20:56

score 5.3k · Answer 11 · 2026-03-25 14:23:52

5.3k

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Prove that $\mathbb{C}^*$ is isomorphic to a subgroup of $GL_2(\mathbb{R})$

Published on 25 Mar 2026 - 14:23

score 121 · Answer 12 · 2017-04-10 11:36:29

121

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Isomorphism and group product

Published on 10 Apr 2017 - 11:36

score 52 · Answer 13 · 2017-04-11 20:43:35

52

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Automorphisms proof

Published on 11 Apr 2017 - 20:43

score 33 · Answer 14 · 2017-04-13 04:56:45

33

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what's the differece between linear permutations and isomorphisms over a finite group?

Published on 13 Apr 2017 - 4:56

score 575 · Answer 15 · 2026-03-26 04:38:05

575

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The Gaussian Integers, $\Bbb Z[i]$, is isomorphic to what familiar group?

Published on 26 Mar 2026 - 4:38

List Question

Explanation/How to use the Lattice isomorphism theorem

Symmetric group isomorphism

Is a bijective map between two groups always an isomorphism?

Is any subgroup of a direct product isomorphic to a direct product of subgroups?

Prove $GL_2(\mathbb{Z}/2\mathbb{Z})$ is isomorphic to $S_3$

Construction of an isomorphism between certain subgroups of $GL_2(\mathbb{C})$ and $S_4.$

If $\lvert\operatorname{Hom}(H,G_1)\rvert = \lvert\operatorname{Hom}(H,G_2)\rvert$ for any $H$ then $G_1 \cong G_2$

Prove that the additive groups $\mathbb{Z}$ and $\mathbb{Q}$ are not isomorphic.

Is the group of invertible elements in $\mathbb{Z}/8\mathbb{Z}$ isomorphic to $\mathbb{Z}/4\mathbb{Z}$ or to the symmetry group of the rectangle?

groups with same number of elements of each order

Prove that $\mathbb{C}^*$ is isomorphic to a subgroup of $GL_2(\mathbb{R})$

Isomorphism and group product

Automorphisms proof

what's the differece between linear permutations and isomorphisms over a finite group?

The Gaussian Integers, $\Bbb Z[i]$, is isomorphic to what familiar group?

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