List questions from group-isomorphism

Published on 27 Jun 2020 - 17:30

940

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Number of subgroups of $S_4$ isomorphic to $K_4$

Published on 29 Mar 2026 - 18:34

100

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Is there a straightforward group homeomorphism between the 2-adic integers and $[0,1)$?

Published on 29 Mar 2026 - 11:00

83

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Group homomorphism between $\Bbb{Q}$ and $\Bbb{Q}\times\Bbb{Q}$

Published on 28 Mar 2026 - 18:16

34

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Is $R[x]/(g) \cong R[x]^{n-1}$ as groups, where $g$ is monic of degree $n$?

Published on 22 Jul 2020 - 16:30

72

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Prove that set of permutation on $3$ elements is not isomorphic to $(\Bbb Z_6,+)$.

Published on 26 Jul 2020 - 11:38

85

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let $|S| = 3$. Prove $(P(S),\Delta)$ is not isomorphic to $(\mathbb{Z_8},+)$.

Published on 26 Jul 2020 - 16:40

159

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2 seemingly isomorphic groups

Published on 26 Mar 2026 - 19:23

429

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Only Two Isomorphism Classes of Groups of Order Four

Published on 28 Jul 2020 - 15:09

179

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Group law of elliptic curves on finite fields

Published on 26 Mar 2026 - 12:36

106

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requirements for two rubik cubes to be identical

Published on 25 Mar 2026 - 12:24

1.4k

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Does there exist any isomorphism between $\mathbb Q[\sqrt 2]$ and $\mathbb Q[\sqrt 3]$?

Published on 11 Jul 2016 - 18:25

3.5k

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Amazing isomorphisms

Published on 31 Mar 2026 - 1:11

161

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isomorphic groups related in direct product.

Published on 17 Jul 2016 - 5:16

54

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Trying to find an isomorphism

Published on 23 Jul 2016 - 15:08

List Question

If $P \cap Q = \{1\}$ and $P, Q \triangleleft G$, then $G \cong P \times Q$

Number of subgroups of $S_4$ isomorphic to $K_4$

Is there a straightforward group homeomorphism between the 2-adic integers and $[0,1)$?

Group homomorphism between $\Bbb{Q}$ and $\Bbb{Q}\times\Bbb{Q}$

Is $R[x]/(g) \cong R[x]^{n-1}$ as groups, where $g$ is monic of degree $n$?

Prove that set of permutation on $3$ elements is not isomorphic to $(\Bbb Z_6,+)$.

let $|S| = 3$. Prove $(P(S),\Delta)$ is not isomorphic to $(\mathbb{Z_8},+)$.

2 seemingly isomorphic groups

Only Two Isomorphism Classes of Groups of Order Four

Group law of elliptic curves on finite fields

requirements for two rubik cubes to be identical

Does there exist any isomorphism between $\mathbb Q[\sqrt 2]$ and $\mathbb Q[\sqrt 3]$?

Amazing isomorphisms

isomorphic groups related in direct product.

Trying to find an isomorphism

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