List questions from group-isomorphism

Published on 28 Mar 2026 - 1:06

130

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counter example $\frac{G}{G^{n}}$ isomorphic with $G_{n}$

Published on 25 Aug 2020 - 9:53

158

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Prove $Z_{20}/\langle 5\rangle \cong Z_{5}$

Published on 01 Sep 2020 - 20:32

60

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Problem with showing that group is isomorphic, cyclic and its subgroup is normal

Published on 09 Sep 2020 - 20:24

134

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Can the quotient by a nontrivial normal subgroup be isomorphic to the group?

Published on 28 Mar 2026 - 1:48

51

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If $o(\mathrm{a})$ be finite, $\langle a\rangle\simeq \Bbb {Z}/m\Bbb{Z}$ for some positive integer $m$ using Isomorphism theorem.

Published on 12 Sep 2020 - 15:01

52

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Model-theoretic proof for $\mathrm{GL}_{n}(K) \simeq \mathrm{GL}_{m}(K) \Rightarrow n = m$

Published on 13 Sep 2020 - 10:47

769

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Trying to come up with a proof of 'generalised Cayley theorem'.

Published on 14 Sep 2020 - 18:58

61

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I have to show whether the groups $(\mathbb{C}, +, 0)$ and $(\mathbb{C} − \{0\}, \times, 1)$ are isomorphic.

Published on 15 Sep 2020 - 11:48

408

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How to prove that two groups $G$ and $H$ are isomorphic?

Published on 15 Sep 2020 - 13:06

1.2k

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How do you prove two groups are isomorphic?

Published on 03 Apr 2026 - 0:17

1.2k

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Clarification of relation between $SL(2,\mathbb{R})$ and $Sp(2,\mathbb{R})$

Published on 03 Apr 2026 - 0:19

663

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Is ${G}/\ker(\phi)$ uniquely isomorphic to $\phi(G)$?

Published on 03 Apr 2026 - 0:19

136

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Isomorphism $\phi:S_n\rightarrow S_A$.

Published on 06 Apr 2026 - 7:35

303

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Are these permutation groups, defined by asymptotic properties, isomorphic?

Published on 18 Sep 2020 - 22:00

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Vertex/Edge removal from isomorphic graphs

counter example $\frac{G}{G^{n}}$ isomorphic with $G_{n}$

Prove $Z_{20}/\langle 5\rangle \cong Z_{5}$

Problem with showing that group is isomorphic, cyclic and its subgroup is normal

Can the quotient by a nontrivial normal subgroup be isomorphic to the group?

If $o(\mathrm{a})$ be finite, $\langle a\rangle\simeq \Bbb {Z}/m\Bbb{Z}$ for some positive integer $m$ using Isomorphism theorem.

Model-theoretic proof for $\mathrm{GL}_{n}(K) \simeq \mathrm{GL}_{m}(K) \Rightarrow n = m$

Trying to come up with a proof of 'generalised Cayley theorem'.

I have to show whether the groups $(\mathbb{C}, +, 0)$ and $(\mathbb{C} − \{0\}, \times, 1)$ are isomorphic.

How to prove that two groups $G$ and $H$ are isomorphic?

How do you prove two groups are isomorphic?

Clarification of relation between $SL(2,\mathbb{R})$ and $Sp(2,\mathbb{R})$

Is ${G}/\ker(\phi)$ uniquely isomorphic to $\phi(G)$?

Isomorphism $\phi:S_n\rightarrow S_A$.

Are these permutation groups, defined by asymptotic properties, isomorphic?

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