List questions from group-isomorphism

Published on 30 Apr 2026 - 14:17

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Showing that $2$ of the following groups are not isomorphic

Published on 11 May 2026 - 1:29

75

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When can the isomorphism theorem for Groups be rewritten as a direct product?

Published on 29 Apr 2026 - 12:24

59

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Smallest $n\in \mathbb{Z}_{>0}$ for existence of a monomorphism $G \rightarrow S_n$

Published on 29 Apr 2026 - 12:24

290

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$\mathrm{Hom}(\mathrm{Hom}(G,H),H) \simeq G$?

Published on 05 May 2026 - 10:19

78

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Do the results hold for isomorphisms of groups?

Published on 10 May 2026 - 15:51

332

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Isomorphism about direct product of multiplicative group and direct product of additive group

Published on 13 May 2026 - 14:16

46

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Direct Sums of Abelian Groups/$R$-Modules

Published on 02 May 2026 - 5:10

71

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Injective Morphisms of Modules and Bases

Published on 07 May 2026 - 20:38

123

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Suppose$f:S_{3}\longrightarrow R^{\ast}$is Homomorphism.Then Kernal of h has

Published on 07 May 2026 - 19:16

593

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How to Count Homomorphism from any finite group G to infinite cyclic group?

Published on 12 May 2026 - 4:22

86

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Show that the groups $G$ and $\langle G, * \rangle$ are isomorphic.

Published on 23 Apr 2026 - 13:12

1.3k

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Prove that the function $f:G \to G$ given by $f(a)=a^k$ is an isomorphism.

Published on 24 Apr 2026 - 18:25

124

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Show that $A_5$ has no subgroup of order $20$.

Published on 12 May 2026 - 17:08

819

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Proving U(33) is isomorphic to $Z_{10}\oplus Z_2$?

Published on 13 May 2026 - 7:52

List Question

Symmetries of the Tetrahedron - Geometric description and isomorphic correlations

Showing that $2$ of the following groups are not isomorphic

When can the isomorphism theorem for Groups be rewritten as a direct product?

Smallest $n\in \mathbb{Z}_{>0}$ for existence of a monomorphism $G \rightarrow S_n$

$\mathrm{Hom}(\mathrm{Hom}(G,H),H) \simeq G$?

Do the results hold for isomorphisms of groups?

Isomorphism about direct product of multiplicative group and direct product of additive group

Direct Sums of Abelian Groups/$R$-Modules

Injective Morphisms of Modules and Bases

Suppose$f:S_{3}\longrightarrow R^{\ast}$is Homomorphism.Then Kernal of h has

How to Count Homomorphism from any finite group G to infinite cyclic group?

Show that the groups $G$ and $\langle G, * \rangle$ are isomorphic.

Prove that the function $f:G \to G$ given by $f(a)=a^k$ is an isomorphism.

Show that $A_5$ has no subgroup of order $20$.

Proving U(33) is isomorphic to $Z_{10}\oplus Z_2$?

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