List questions from group-isomorphism

Published on 26 Oct 2020 - 15:44

102

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Isomorphism between $GL_3(\mathbb{Z}_2)$ and a subgroup of $S_7$

Published on 25 Mar 2026 - 16:02

199

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Find number of normal subgroups in $F_3$ such that its factor is isomorphic to a given Abelian group

Published on 29 Mar 2026 - 18:36

133

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Prove fundamental group of R/~ is isomorphic to Z

Published on 28 Mar 2026 - 18:55

232

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Which pair of groups are isomorphic?

Published on 29 Oct 2020 - 7:55

136

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Isomorphism of direct products

Published on 28 Mar 2026 - 4:34

83

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Show that $(U_{7}, \cdot) \cong (Z_6, +)$.

Published on 04 Nov 2020 - 1:46

37

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Isomorphism from inner direct product to external how to prove the following:

Published on 31 Mar 2026 - 5:22

74

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Show that $G$ has finite index subgroup isomorphic to $\Bbb{Z}$ if there exists homomorphism $\Phi:G \rightarrow \Bbb{Z}$ with $\ker(\Phi)$ finite

Published on 27 Mar 2026 - 21:20

71

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$\Psi:G/N \to (\mathbb R^+,\times)$ with $aN \mapsto x$ is isomorphism

Published on 06 Nov 2020 - 6:10

137

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First Isomorphism Theorem - hole in the proof from my book?

Published on 07 Nov 2020 - 13:03

35

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Is it possible to define some form of relationship between two operations?

Published on 30 Mar 2026 - 12:37

546

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Give an example of subset which is not a subgroup

Published on 10 Nov 2020 - 16:43

134

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A Group Isomorphic to $D_8$

Published on 28 Mar 2026 - 20:56

716

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The group of symmetries of the $d$ dimensional regular simplex is isomorphic to $S_{d+1}$

Published on 29 Mar 2026 - 18:51

List Question

Prove that $\vert P\cap N\vert = p^b$ and $\vert PN/N\vert=p^{a-b}$

Isomorphism between $GL_3(\mathbb{Z}_2)$ and a subgroup of $S_7$

Find number of normal subgroups in $F_3$ such that its factor is isomorphic to a given Abelian group

Prove fundamental group of R/~ is isomorphic to Z

Which pair of groups are isomorphic?

Isomorphism of direct products

Show that $(U_{7}, \cdot) \cong (Z_6, +)$.

Isomorphism from inner direct product to external how to prove the following:

Show that $G$ has finite index subgroup isomorphic to $\Bbb{Z}$ if there exists homomorphism $\Phi:G \rightarrow \Bbb{Z}$ with $\ker(\Phi)$ finite

$\Psi:G/N \to (\mathbb R^+,\times)$ with $aN \mapsto x$ is isomorphism

First Isomorphism Theorem - hole in the proof from my book?

Is it possible to define some form of relationship between two operations?

Give an example of subset which is not a subgroup

A Group Isomorphic to $D_8$

The group of symmetries of the $d$ dimensional regular simplex is isomorphic to $S_{d+1}$

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