List questions from group-isomorphism

Published on 14 May 2026 - 10:49

82

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Does the notation $(G/A)/B$ actually make sense?

Published on 10 May 2026 - 19:29

65

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If 3 is not a divisor of the order of a group, then $\forall g \in G$ $\exists h \in G$ s.t $g=h^3$

Published on 16 Apr 2026 - 8:19

702

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Matrix group isomorphic to $\mathbb{Z}$

Published on 12 Apr 2026 - 6:18

231

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Finding isomorphism between two automorphism groups.

Published on 11 May 2026 - 6:11

182

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Show that the groups $SL_2(\mathbb{F}_3)$ and $S_4$ are two nonisomorphic groups of order 24.

Published on 16 Apr 2026 - 12:45

133

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conceptual question with example: proving groups are isomorphic

Published on 10 May 2026 - 12:50

24

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Defining a normal subgroup to be maximal.

Published on 11 May 2026 - 4:59

64

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Show $\phi:H\to HN/N$ is one-to-one.

Published on 13 Apr 2026 - 3:41

1.7k

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Prove that the additive group of $\mathbb{Z}[x]$ is isomorphic to the group of positive rational numbers under multiplication.

Published on 13 Apr 2026 - 13:22

221

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Establishing isomorphism between the given two groups

Published on 13 Apr 2026 - 3:06

76

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Give counterexample to the following claim about invertible homomorphic posets

Published on 11 May 2026 - 7:51

996

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Is it possible to demonstrate two groups are isomorphic without specifying an isomorphism between them?

Published on 08 Apr 2026 - 18:41

64

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why there is no non cyclic group other than $D_{61}$.

Published on 14 Apr 2026 - 10:25

378

Views

How many (non-isomorphic) abelian groups of order $200$ are there?

Published on 14 Apr 2026 - 5:55

List Question

Additive groups $\mathbb R$ and $\mathbb C$

Does the notation $(G/A)/B$ actually make sense?

If 3 is not a divisor of the order of a group, then $\forall g \in G$ $\exists h \in G$ s.t $g=h^3$

Matrix group isomorphic to $\mathbb{Z}$

Finding isomorphism between two automorphism groups.

Show that the groups $SL_2(\mathbb{F}_3)$ and $S_4$ are two nonisomorphic groups of order 24.

conceptual question with example: proving groups are isomorphic

Defining a normal subgroup to be maximal.

Show $\phi:H\to HN/N$ is one-to-one.

Prove that the additive group of $\mathbb{Z}[x]$ is isomorphic to the group of positive rational numbers under multiplication.

Establishing isomorphism between the given two groups

Give counterexample to the following claim about invertible homomorphic posets

Is it possible to demonstrate two groups are isomorphic without specifying an isomorphism between them?

why there is no non cyclic group other than $D_{61}$.

How many (non-isomorphic) abelian groups of order $200$ are there?

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