List questions from group-isomorphism

Published on 27 Mar 2026 - 13:25

5.2k

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Any nonabelian group of order 12 is isomorphic to A4, D6, or Z3 x Z4

Published on 23 Apr 2016 - 13:13

54

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Automorphism of the subgroup

Published on 24 Apr 2016 - 18:11

932

Views

$R/\Bbb Z$ isomorphic to $R/(2\pi \Bbb Z)$

Published on 01 Apr 2026 - 14:29

289

Views

$G = \mathbb{Q} / \mathbb{Z}$ surjective map and kernel isomorphism

Published on 01 Apr 2026 - 14:21

7.3k

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Order of $G$ is 35, are there elements of order 5 and 7 in G?

Published on 27 Apr 2016 - 15:21

133

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Can a triangle free graph represent a Group?

Published on 30 Mar 2026 - 2:58

1.1k

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Isomorphism of a ring of matrices

Published on 29 Apr 2016 - 17:54

621

Views

$G$ be an infinite group such that $|Aut (G)|=2$ , then is $G$ cyclic ?

Published on 27 Mar 2026 - 7:14

222

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$G$ is an infinite abelian group such that $G \cong H$ for every non trivial subgroup $H$ of $G$ , then is $G$ cyclic?

Published on 27 Mar 2026 - 7:16

45

Views

show that if $\lvert \{g\in G | \varphi(g) = g\}\rvert \gt \frac{\lvert G\rvert}{2} $ then $\varphi = Id$

Published on 01 May 2016 - 13:14

3.7k

Views

Isomorphism between the group $(\mathbb Z[x], +)$ and $(\mathbb Q_{>0}, .)$

Published on 02 May 2016 - 11:30

73

Views

Show that ${C_\infty }/\left\langle {{c^n}} \right\rangle \simeq {C_n}$

Published on 02 Apr 2026 - 18:29

805

Views

Classify groups of order 100

Published on 05 May 2016 - 15:47

831

Views

Product group isomorphism

Published on 06 May 2016 - 12:38

List Question

Vertex-transitivity of the automorphism group of a digraph

Any nonabelian group of order 12 is isomorphic to A4, D6, or Z3 x Z4

Automorphism of the subgroup

$R/\Bbb Z$ isomorphic to $R/(2\pi \Bbb Z)$

$G = \mathbb{Q} / \mathbb{Z}$ surjective map and kernel isomorphism

Order of $G$ is 35, are there elements of order 5 and 7 in G?

Can a triangle free graph represent a Group?

Isomorphism of a ring of matrices

$G$ be an infinite group such that $|Aut (G)|=2$ , then is $G$ cyclic ?

$G$ is an infinite abelian group such that $G \cong H$ for every non trivial subgroup $H$ of $G$ , then is $G$ cyclic?

show that if $\lvert \{g\in G | \varphi(g) = g\}\rvert \gt \frac{\lvert G\rvert}{2} $ then $\varphi = Id$

Isomorphism between the group $(\mathbb Z[x], +)$ and $(\mathbb Q_{>0}, .)$

Show that ${C_\infty }/\left\langle {{c^n}} \right\rangle \simeq {C_n}$

Classify groups of order 100

Product group isomorphism

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