List questions from group-isomorphism

Published on 15 Feb 2017 - 1:50

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Show that this simple map is an isomorphism

Published on 15 Feb 2017 - 20:07

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Group isomorphism on quotient groups?

Published on 19 Feb 2017 - 6:53

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Isomorphism onto nonzero reals?

Published on 19 Feb 2017 - 8:05

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Group isomorphism induces a homomorphism on the quotient group?

Published on 19 Feb 2017 - 8:24

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How to find $k$ such that $(\mathbb{Z} \times \mathbb{Z})/ \langle (m,n)\rangle \cong \mathbb{Z} \times \mathbb{Z}_k$

Published on 28 Mar 2026 - 15:46

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Nonzero reals and cross products are isomorphic?

Published on 29 Mar 2026 - 19:09

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Proof verification needed for showing a map is an automorphism iff gcd$(m,n)=1$

Published on 20 Feb 2017 - 14:06

83

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If a group homomorphism with central kernel restricts to two isomorphisms of coprime order cyclic groups, can we extend these to an isomorphism

Published on 21 Feb 2017 - 10:43

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List the elements of Aut$(C_4)$ and Aut$(C_{12})$

Published on 21 Feb 2017 - 17:26

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The Group of order $p^3$

Published on 26 Feb 2017 - 16:21

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Quotient groups and isomorphisms

Published on 26 Feb 2017 - 17:14

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A mapping $\phi:\mathfrak{so}(3) \to \mathbb{R}^{3}$ such that $\phi(gXg^{-1}) = g \phi(X)$

Published on 27 Feb 2017 - 6:57

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Isomorphism between $U(15)$ and $\Bbb Z_4\oplus \Bbb Z_2$

Published on 01 Mar 2017 - 1:20

71

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Let $X=\{1,2,3,4\}$. Are the monoids $(X,\max), (X,\min)$ isomorphic?

Published on 01 Mar 2017 - 23:06

List Question

Proof involving Lagrange Theorem and subgroups help

Show that this simple map is an isomorphism

Group isomorphism on quotient groups?

Isomorphism onto nonzero reals?

Group isomorphism induces a homomorphism on the quotient group?

How to find $k$ such that $(\mathbb{Z} \times \mathbb{Z})/ \langle (m,n)\rangle \cong \mathbb{Z} \times \mathbb{Z}_k$

Nonzero reals and cross products are isomorphic?

Proof verification needed for showing a map is an automorphism iff gcd$(m,n)=1$

If a group homomorphism with central kernel restricts to two isomorphisms of coprime order cyclic groups, can we extend these to an isomorphism

List the elements of Aut$(C_4)$ and Aut$(C_{12})$

The Group of order $p^3$

Quotient groups and isomorphisms

A mapping $\phi:\mathfrak{so}(3) \to \mathbb{R}^{3}$ such that $\phi(gXg^{-1}) = g \phi(X)$

Isomorphism between $U(15)$ and $\Bbb Z_4\oplus \Bbb Z_2$

Let $X=\{1,2,3,4\}$. Are the monoids $(X,\max), (X,\min)$ isomorphic?

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