List questions from group-isomorphism

Published on 22 Mar 2026 - 15:07

42

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Adding preservation of distance with group isomorphisms

Published on 29 Mar 2018 - 10:35

365

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Isomorphism between dual spaces

Published on 27 Mar 2026 - 10:13

320

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Does having an isomorphism between two could-be groups imply that they are groups?

Published on 03 Apr 2018 - 19:38

296

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Additive group $\mathbb{G}_a$ is not isomorphic to multiplicative group $\mathbb{G}_m$

Published on 25 Mar 2026 - 1:23

514

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Prove that if H is a group of odd order, there exists no nontrivial homomorphism from D_2017 to H?

Published on 25 Mar 2026 - 12:49

31

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If $a=(2,1)$, $b=(0,1)$ and $H=\langle a \rangle \cap \langle b \rangle$, to which product of cyclic groups is isomorphic $G/H$?

Published on 05 Apr 2018 - 20:06

68

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The number of solutions for the equation $ x*x = 2f(x) $

Published on 07 Apr 2018 - 13:39

122

Views

If a group isomorphism is an involution with only a trivial fixed point, then the group is abelian

Published on 25 Mar 2026 - 6:05

426

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Show that $U(8)$ is isomorphic to the group of matrices.

Published on 09 Apr 2018 - 3:42

5.6k

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Isomorphisms of finite abelian groups

Published on 25 Mar 2026 - 7:42

84

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Isomorphism between finite groups

Published on 26 Mar 2026 - 1:09

1k

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Is $(\mathbb{Z}, +)$ isomorphic to $(\mathbb{R}, +)$

Published on 11 Apr 2018 - 5:05

383

Views

Prove that there do not exist non-trivial groups $H$ and $K$ such that $\mathbb{Q}\cong H\times K$.

Published on 25 Mar 2026 - 16:56

1k

Views

Fundamental groups (isomorphism)

Published on 25 Mar 2026 - 9:45

List Question

Are continuous maps "weaker" than other morphisms?

Adding preservation of distance with group isomorphisms

Isomorphism between dual spaces

Does having an isomorphism between two could-be groups imply that they are groups?

Additive group $\mathbb{G}_a$ is not isomorphic to multiplicative group $\mathbb{G}_m$

Prove that if H is a group of odd order, there exists no nontrivial homomorphism from D_2017 to H?

If $a=(2,1)$, $b=(0,1)$ and $H=\langle a \rangle \cap \langle b \rangle$, to which product of cyclic groups is isomorphic $G/H$?

The number of solutions for the equation $ x*x = 2f(x) $

If a group isomorphism is an involution with only a trivial fixed point, then the group is abelian

Show that $U(8)$ is isomorphic to the group of matrices.

Isomorphisms of finite abelian groups

Isomorphism between finite groups

Is $(\mathbb{Z}, +)$ isomorphic to $(\mathbb{R}, +)$

Prove that there do not exist non-trivial groups $H$ and $K$ such that $\mathbb{Q}\cong H\times K$.

Fundamental groups (isomorphism)

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