List questions from infinite-groups

Published on 16 Apr 2026 - 20:51

222

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Are free products of exponential growth?

Published on 09 Apr 2026 - 2:48

110

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Growth of direct products

Published on 30 Apr 2026 - 14:26

6.6k

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Examples of Infinite Simple Groups

Published on 13 Apr 2026 - 20:02

171

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Index and normal subgroups

Published on 10 May 2026 - 13:36

1.8k

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Homogeneous groups

Published on 30 Apr 2026 - 13:40

981

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What group is $\mathbb{R}/\mathbb{Z}$ isomorphic to?

Published on 09 Apr 2026 - 15:40

495

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Elementary equivalence of free groups

Published on 14 Apr 2026 - 23:52

76

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Are the only generators of a Cyclic Group $G=\langle g\rangle$, where $|g| = \infty$, $g$ and $g^{-1}$?

Published on 15 Apr 2026 - 13:02

150

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A sequence of subsets of $\Bbb Z$ not containing nontrivial subgroups

Published on 15 Apr 2026 - 4:07

49

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Representation of a group, and finite index subspaces

Published on 14 Apr 2026 - 16:44

1.8k

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Is it possible that a left coset of $H$ contains more than one right coset of $H$?

Published on 11 Apr 2026 - 12:51

90

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Calculations in McLain groups

Published on 11 Apr 2026 - 11:00

176

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property of a locally cyclic group

Published on 10 Apr 2026 - 19:03

1.1k

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$G$ infinite abelian group with $[G:H]$ finite for every non trivial subgroup $H$ , to prove $G$ is cyclic

Published on 14 Apr 2026 - 5:38

List Question

$eH \in G/H$ is the only element with finite order

Are free products of exponential growth?

Growth of direct products

Examples of Infinite Simple Groups

Index and normal subgroups

Homogeneous groups

What group is $\mathbb{R}/\mathbb{Z}$ isomorphic to?

Elementary equivalence of free groups

Are the only generators of a Cyclic Group $G=\langle g\rangle$, where $|g| = \infty$, $g$ and $g^{-1}$?

A sequence of subsets of $\Bbb Z$ not containing nontrivial subgroups

Representation of a group, and finite index subspaces

Is it possible that a left coset of $H$ contains more than one right coset of $H$?

Calculations in McLain groups

property of a locally cyclic group

$G$ infinite abelian group with $[G:H]$ finite for every non trivial subgroup $H$ , to prove $G$ is cyclic

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