List questions from infinite-groups

295

Views

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

Published on 03 May 2019 - 12:36

244

Views

Commensurability classes in groups

Published on 05 May 2019 - 7:14

256

Views

How to enumerate Von Dyck groups?

Published on 10 May 2019 - 8:58

199

Views

Abelian groups having no finite subgroup

Published on 27 May 2019 - 16:28

77

Views

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

Published on 03 Jun 2019 - 12:40

93

Views

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

Published on 06 Jun 2019 - 14:46

73

Views

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

Published on 01 Jul 2019 - 19:59

135

Views

why the multiplication between functionals is not well defined?

Published on 25 Mar 2026 - 4:43

292

Views

Can a group have a cyclical derived series?

Published on 22 Mar 2026 - 15:46

213

Views

Isomorphism between two finitley presented groups which are not finite

Published on 21 Mar 2026 - 14:34

56

Views

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

Published on 22 Mar 2026 - 17:28

77

Views

Are infinite symmetric groups always equal to their word maps?

Published on 28 Aug 2019 - 22:09

241

Views

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

Published on 29 Aug 2019 - 12:44

86

Views

Properties of the set of all reducible polynomials?

Published on 01 Sep 2019 - 11:31

113

Views

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

Published on 21 Mar 2026 - 9:30

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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