List questions from infinite-groups

298

Views

Why not $\mathbb{Q}$ and $\mathbb{Q}\times \mathbb{Q}\cong \mathbb{Q}^2$ not isomorphic as additive groups?

Published on 16 Apr 2026 - 21:32

247

Views

Commensurability classes in groups

Published on 12 Apr 2026 - 9:03

260

Views

How to enumerate Von Dyck groups?

Published on 11 Apr 2026 - 1:54

202

Views

Abelian groups having no finite subgroup

Published on 14 Apr 2026 - 16:47

80

Views

Does there exist a nontrivial abelian group $A$ such that $\mathrm{Aut}(A) \cong A$?

Published on 12 Apr 2026 - 21:05

96

Views

Does $\Sigma$ generate the variety of all groups?

Published on 12 Apr 2026 - 10:26

76

Views

Infinite $\frac{3}{2}$-generated groups?

Published on 14 Apr 2026 - 13:34

136

Views

why the multiplication between functionals is not well defined?

Published on 10 May 2026 - 14:37

297

Views

Can a group have a cyclical derived series?

Published on 23 Apr 2026 - 19:09

214

Views

Isomorphism between two finitley presented groups which are not finite

Published on 25 Mar 2026 - 11:10

61

Views

Is the class of $\omega$-soluble groups a variety?

Published on 23 Apr 2026 - 10:24

80

Views

Are infinite symmetric groups always equal to their word maps?

Published on 14 Apr 2026 - 3:47

244

Views

Subgroups of infinite $p$-group ($p$ is prime)

Published on 16 Apr 2026 - 4:29

89

Views

Properties of the set of all reducible polynomials?

Published on 10 Apr 2026 - 19:52

114

Views

The tree of $\langle a,b\mid a^2=b^3\rangle$.

Published on 25 Mar 2026 - 12:54

List Question

Why not $\mathbb{Q}$ and $\mathbb{Q}\times \mathbb{Q}\cong \mathbb{Q}^2$ not isomorphic as additive groups?

Commensurability classes in groups

How to enumerate Von Dyck groups?

Abelian groups having no finite subgroup

Does there exist a nontrivial abelian group $A$ such that $\mathrm{Aut}(A) \cong A$?

Does $\Sigma$ generate the variety of all groups?

Infinite $\frac{3}{2}$-generated groups?

why the multiplication between functionals is not well defined?

Can a group have a cyclical derived series?

Isomorphism between two finitley presented groups which are not finite

Is the class of $\omega$-soluble groups a variety?

Are infinite symmetric groups always equal to their word maps?

Subgroups of infinite $p$-group ($p$ is prime)

Properties of the set of all reducible polynomials?

The tree of $\langle a,b\mid a^2=b^3\rangle$.

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