List questions from group-isomorphism

Published on 16 Apr 2026 - 2:41

83

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If $P$ is a Sylow $p$-subgroup of $G$ then there exists a normal subgroup $K$ such that $G/K$ is isomorphic to $P/P \cap G'$

Published on 10 May 2026 - 13:51

80

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Prove that $X/A \cong (\Bbb{R^*};.)$.

Published on 13 Apr 2026 - 23:22

778

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$f: G \to \mathbb{C}^*$ is a homomorphism. Show that the sum $\sum f (g) = 0$ or $n$

Published on 16 Apr 2026 - 2:24

236

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Banach Algebra Isomorphism

Published on 09 Apr 2026 - 5:26

190

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Banach algebra $l^p$ is not isomorphic to $C^{*}$ algebra

Published on 09 Apr 2026 - 5:28

85

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Are given groups isomorphic

Published on 09 Apr 2026 - 8:36

221

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Find all non-isomorphic abelian groups s.t. $|G| \leq 30$ and $g^{12}=1, \, \forall g\in G$

Published on 16 Apr 2026 - 23:28

1k

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Proving $(\Bbb R,+)$ has no proper subgroup isomorphic to itself

Published on 13 Apr 2026 - 13:25

154

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Which group is this quotient group isomorphic to?

Published on 11 May 2026 - 5:03

262

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Normal subgroup and corresponding homomorphism

Published on 15 Apr 2026 - 20:56

186

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Prove or disprove. Let $G$ be an abelian group. Let $N \triangleleft G$. Then, $ G\cong N \times G/N. $

Published on 17 Apr 2026 - 2:42

108

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Find group isomorphic to the quotient group

Published on 11 May 2026 - 8:27

211

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Existence and construction of isomorphism between finite groups

Published on 12 Apr 2026 - 14:18

144

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Why is $Z^n/AZ^n \cong Z/d_1Z\oplus Z/d_2Z..$ where $d_i$ are the entries of normal form of A?

Published on 10 May 2026 - 17:39

List Question

There exists an element of order $5$ in $G$

If $P$ is a Sylow $p$-subgroup of $G$ then there exists a normal subgroup $K$ such that $G/K$ is isomorphic to $P/P \cap G'$

Prove that $X/A \cong (\Bbb{R^*};.)$.

$f: G \to \mathbb{C}^*$ is a homomorphism. Show that the sum $\sum f (g) = 0$ or $n$

Banach Algebra Isomorphism

Banach algebra $l^p$ is not isomorphic to $C^{*}$ algebra

Are given groups isomorphic

Find all non-isomorphic abelian groups s.t. $|G| \leq 30$ and $g^{12}=1, \, \forall g\in G$

Proving $(\Bbb R,+)$ has no proper subgroup isomorphic to itself

Which group is this quotient group isomorphic to?

Normal subgroup and corresponding homomorphism

Prove or disprove. Let $G$ be an abelian group. Let $N \triangleleft G$. Then, $ G\cong N \times G/N. $

Find group isomorphic to the quotient group

Existence and construction of isomorphism between finite groups

Why is $Z^n/AZ^n \cong Z/d_1Z\oplus Z/d_2Z..$ where $d_i$ are the entries of normal form of A?

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