List questions from group-isomorphism

Published on 06 May 2017 - 16:31

54

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Groups, normal subgroups and isomorphism

Published on 06 May 2017 - 20:08

28

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Find an isomorphism between $\mathbb H^1 \approx \mathbb C \times \mathbb R $ and a subgroup of $GL_3 (\mathbb R)$

Published on 08 May 2017 - 1:53

34

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Problem Realizing a proof with the algebraists notation

Published on 12 May 2017 - 14:40

696

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Proving the factor group is isomorphic to $\mathbb{Z}_8$ .

Published on 13 May 2017 - 12:09

74

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A question about isomorphic between two groups

Published on 16 May 2017 - 23:34

101

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If $\pi $ is a permutation representation, then $\pi (\text{Hol} (H))=N_{S_n}(\pi(H))$

Published on 17 May 2017 - 20:17

63

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Theorem: formulation of uniqueness?

Published on 26 Mar 2026 - 22:19

7.6k

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Difference between $\mathbb{Z}/n\mathbb{Z}$ and $\mathbb{Z}_n$

Published on 27 Mar 2026 - 10:44

206

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Use of Isomorphism Theorems

Published on 01 Apr 2026 - 22:16

626

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An example of isomorphic groups from the real life that is hard to notice.

Published on 31 Mar 2026 - 7:57

110

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Which of the following groups are isomorphic? Choose from 4.

Published on 03 Apr 2026 - 6:36

102

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I do not get prime-decomposition! Please help!

Published on 03 Apr 2026 - 6:32

66

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Proof that $ (\mathbb{Z} \times \mathbb{Z},+) /\langle(2,3)\rangle $ is cyclic.

Published on 03 Apr 2026 - 18:54

41

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Prove or disprove: The equivalence of $\forall i \in \{1,\dots,n\}\quad |H_1\dots H_n|=|H_1|\dots|H_n|$

Published on 04 Jun 2017 - 21:27

List Question

FTFGAG Isomorphism to Invariant Factor Decomposition

Groups, normal subgroups and isomorphism

Find an isomorphism between $\mathbb H^1 \approx \mathbb C \times \mathbb R $ and a subgroup of $GL_3 (\mathbb R)$

Problem Realizing a proof with the algebraists notation

Proving the factor group is isomorphic to $\mathbb{Z}_8$ .

A question about isomorphic between two groups

If $\pi $ is a permutation representation, then $\pi (\text{Hol} (H))=N_{S_n}(\pi(H))$

Theorem: formulation of uniqueness?

Difference between $\mathbb{Z}/n\mathbb{Z}$ and $\mathbb{Z}_n$

Use of Isomorphism Theorems

An example of isomorphic groups from the real life that is hard to notice.

Which of the following groups are isomorphic? Choose from 4.

I do not get prime-decomposition! Please help!

Proof that $ (\mathbb{Z} \times \mathbb{Z},+) /\langle(2,3)\rangle $ is cyclic.

Prove or disprove: The equivalence of $\forall i \in \{1,\dots,n\}\quad |H_1\dots H_n|=|H_1|\dots|H_n|$

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