List questions from infinite-groups

Published on 14 Apr 2026 - 4:19

76

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elements of finite order in G

Published on 14 Apr 2026 - 18:35

567

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Is the action of $SO(3, \mathbb R)$ on $S^2:=\{(x,y,z) \in \mathbb R^3 |x^2+y^2+z^2=1\}$ defined as $(A,x) \to Ax$ transitive?

Published on 13 Apr 2026 - 18:20

100

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On understanding the structure of pure subgroups of a $p$-primary group.

Published on 14 Apr 2026 - 2:02

804

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proving infinite set from a finite and infinite set

Published on 14 Apr 2026 - 9:33

927

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Giving examples of denumerable sets

Published on 10 Apr 2026 - 20:38

96

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Question about an equivalent definition of a simple group

Published on 12 Apr 2026 - 3:19

10.6k

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What are some examples of infinite nonabelian groups?

Published on 10 Apr 2026 - 22:27

690

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An infinite group $G$ always has a countably infinite subgroup.

Published on 13 Apr 2026 - 18:07

252

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Injecting a group into itself

Published on 12 Apr 2026 - 13:16

73

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Existence of a specific group(Group Theory)

Published on 11 Apr 2026 - 8:33

43

Views

Is conjugation in infinite groups well behaved?

Published on 10 Apr 2026 - 5:55

62

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Conjugacy of maximal subgroups

Published on 15 Apr 2026 - 11:35

433

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The closure of the set of all permutations with finite support in $Sym( \mathbb{N})$

Published on 11 Apr 2026 - 9:47

133

Views

Construct a strictly descending infinite sequence of non-commutative subgroups

Published on 18 Apr 2026 - 11:55

List Question

A class of subsets of the sums of $\mathbb{Z}_2$

elements of finite order in G

Is the action of $SO(3, \mathbb R)$ on $S^2:=\{(x,y,z) \in \mathbb R^3 |x^2+y^2+z^2=1\}$ defined as $(A,x) \to Ax$ transitive?

On understanding the structure of pure subgroups of a $p$-primary group.

proving infinite set from a finite and infinite set

Giving examples of denumerable sets

Question about an equivalent definition of a simple group

What are some examples of infinite nonabelian groups?

An infinite group $G$ always has a countably infinite subgroup.

Injecting a group into itself

Existence of a specific group(Group Theory)

Is conjugation in infinite groups well behaved?

Conjugacy of maximal subgroups

The closure of the set of all permutations with finite support in $Sym( \mathbb{N})$

Construct a strictly descending infinite sequence of non-commutative subgroups

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