List questions from group-isomorphism

Published on 13 Jun 2019 - 17:54

309

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Does $S_{10}$ have a subgroup isomorphic to $\Bbb{Z}/30\Bbb{Z}$?

Published on 26 Mar 2026 - 22:53

60

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Formula of a the group of character of a group

Published on 27 Mar 2026 - 4:18

156

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Is $\mathbb{Z}_{4} \oplus \mathbb{Z}_{6} \cong \mathbb{Z}_{2} \oplus \mathbb{Z}_{3} \oplus \mathbb{Z}_{4}$?

Published on 19 Jun 2019 - 19:29

91

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Finding a Group isomorphism G

Published on 27 Mar 2026 - 4:56

405

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Isomorphism and Symmetry

Published on 26 Mar 2026 - 6:25

187

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Surjective implies injective in this case?

Published on 26 Mar 2026 - 0:58

72

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Splitting induces isomorphisms

Published on 27 Mar 2026 - 6:45

590

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First Isomorphism Theorem: Let $\phi : G\rightarrow G'$ be a homomorphism of groups. Then $G/\ker(\phi ) \cong \phi (G)$.

Published on 27 Jun 2019 - 5:13

91

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Prove that two groups for elliptic curves are isomorphic

Published on 28 Mar 2026 - 9:33

232

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Finite abelian group whose automorphism group is some general linear group

Published on 27 Mar 2026 - 8:41

404

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Quotient group is cyclic or not?

Published on 25 Mar 2026 - 23:36

102

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What are the all group automorphism of $Z_{60}$ sending 5 to 25?

Published on 28 Mar 2026 - 10:24

41

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Clarifying notation of the Ker(f) in context of the first isomorphism theorem

Published on 07 Jul 2019 - 17:23

276

Views

If $H$ is a normal subgroup of $S_n$ where $(12)(34)∈ H$, $Sn/H \cong {e}$ or $Sn/H \cong Z/2Z$.

Published on 26 Mar 2026 - 1:23

List Question

Show isomorphism of two groups

Does $S_{10}$ have a subgroup isomorphic to $\Bbb{Z}/30\Bbb{Z}$?

Formula of a the group of character of a group

Is $\mathbb{Z}_{4} \oplus \mathbb{Z}_{6} \cong \mathbb{Z}_{2} \oplus \mathbb{Z}_{3} \oplus \mathbb{Z}_{4}$?

Finding a Group isomorphism G

Isomorphism and Symmetry

Surjective implies injective in this case?

Splitting induces isomorphisms

First Isomorphism Theorem: Let $\phi : G\rightarrow G'$ be a homomorphism of groups. Then $G/\ker(\phi ) \cong \phi (G)$.

Prove that two groups for elliptic curves are isomorphic

Finite abelian group whose automorphism group is some general linear group

Quotient group is cyclic or not?

What are the all group automorphism of $Z_{60}$ sending 5 to 25?

Clarifying notation of the Ker(f) in context of the first isomorphism theorem

If $H$ is a normal subgroup of $S_n$ where $(12)(34)∈ H$, $Sn/H \cong {e}$ or $Sn/H \cong Z/2Z$.

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