List questions from group-isomorphism

Published on 27 Mar 2026 - 22:30

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Why $\mathrm{SU}_2(\mathbb{C})/\lbrace \pm 1 \rbrace \cong \mathrm{SO}_3(\mathbb{R})$ is exceptionnal?

Published on 14 Apr 2017 - 14:51

93

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Splitting Field and Isomorphism of Field Extension

Published on 28 Mar 2026 - 20:58

235

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Vector Space Orientation

Published on 27 Mar 2026 - 1:42

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Show a group $G$ forms a group under the multiplication "*"

Published on 20 Apr 2017 - 5:21

407

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Isomorphism between logical propositions over disjunctions and Unions of Sets.

Published on 21 Apr 2017 - 3:00

86

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Isomorphic to which of the following?

Published on 24 Apr 2017 - 3:41

183

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$\det:U(n)\to S^1$ induces isomorphism of first homotopy groups: how to prove?

Published on 01 Apr 2026 - 3:45

61

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Finite algebraic automorhisms of unipotent group.

Published on 27 Mar 2026 - 20:24

88

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Is this group always abelian?

Published on 26 Apr 2017 - 16:34

831

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how to prove two groups are NOT isomorphic?

Published on 27 Mar 2026 - 22:30

196

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Existence of isomorphisms between elliptic curves

Published on 01 Apr 2026 - 20:23

1.7k

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are all homomorphic groups of the same size isomorphic?

Published on 01 Apr 2026 - 20:23

271

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If $G$ is generated by a subgroup $S$ and $\sigma$ is an automorphism in $G$, then $\sigma(S)$ generates $G$

Published on 28 Apr 2017 - 11:11

250

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Is this hypothesis of a group homomorphism theorem actually a corollary?

Published on 01 Apr 2026 - 22:18

List Question

Isomorphism between groups

Why $\mathrm{SU}_2(\mathbb{C})/\lbrace \pm 1 \rbrace \cong \mathrm{SO}_3(\mathbb{R})$ is exceptionnal?

Splitting Field and Isomorphism of Field Extension

Vector Space Orientation

Show a group $G$ forms a group under the multiplication "*"

Isomorphism between logical propositions over disjunctions and Unions of Sets.

Isomorphic to which of the following?

$\det:U(n)\to S^1$ induces isomorphism of first homotopy groups: how to prove?

Finite algebraic automorhisms of unipotent group.

Is this group always abelian?

how to prove two groups are NOT isomorphic?

Existence of isomorphisms between elliptic curves

are all homomorphic groups of the same size isomorphic?

If $G$ is generated by a subgroup $S$ and $\sigma$ is an automorphism in $G$, then $\sigma(S)$ generates $G$

Is this hypothesis of a group homomorphism theorem actually a corollary?

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