List questions from infinite-groups

Published on 09 Apr 2026 - 17:55

223

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Is the group $S^1:=\{z\in \mathbb C :|z|=1\}$ isomorphic with $S^1\times S^1$ ?

Published on 14 Apr 2026 - 2:33

1.3k

Views

Number of homomorphisms from a finite group to an infinite group

Published on 13 Apr 2026 - 17:57

342

Views

Is there any non-abelian group with the property $AB=BA$?

Published on 13 Apr 2026 - 20:16

215

Views

Are there non-abelian groups with the property $|AB|=|BA|$?

Published on 11 Apr 2026 - 17:41

5.7k

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Subgroup of infinite group

Published on 10 Apr 2026 - 17:08

38

Views

Equivalence relation on cosets

Published on 10 Apr 2026 - 16:14

64

Views

What are the elements of the group $6 \mathbb Z$

Published on 12 Apr 2026 - 7:50

69

Views

What is wrong with this demonstration regarding the sum of all naturals?

Published on 09 Apr 2026 - 17:11

306

Views

Groups with several direct product decompositions

Published on 11 Apr 2026 - 22:51

1.1k

Views

Are $(\mathbb{R},+)$ and $(\mathbb{C},+)$ isomorphic as additive groups under the axiom of choice?

Published on 14 Apr 2026 - 6:28

197

Views

Is this an isomorphism possible?

Published on 10 Apr 2026 - 3:14

333

Views

Looking for a proof that if a normal subgroup of $Sym(\mathbb N)$ has an element of infinite order then it is the whole group

Published on 15 Apr 2026 - 17:36

64

Views

Group with a special generating set

Published on 12 Apr 2026 - 14:41

355

Views

Infinite-dimensional irreducible representations of countable abelian groups

Published on 11 May 2026 - 4:12

List Question

The Perfect Sharing Algorithm (ABBABAAB...)

Is the group $S^1:=\{z\in \mathbb C :|z|=1\}$ isomorphic with $S^1\times S^1$ ?

Number of homomorphisms from a finite group to an infinite group

Is there any non-abelian group with the property $AB=BA$?

Are there non-abelian groups with the property $|AB|=|BA|$?

Subgroup of infinite group

Equivalence relation on cosets

What are the elements of the group $6 \mathbb Z$

What is wrong with this demonstration regarding the sum of all naturals?

Groups with several direct product decompositions

Are $(\mathbb{R},+)$ and $(\mathbb{C},+)$ isomorphic as additive groups under the axiom of choice?

Is this an isomorphism possible?

Looking for a proof that if a normal subgroup of $Sym(\mathbb N)$ has an element of infinite order then it is the whole group

Group with a special generating set

Infinite-dimensional irreducible representations of countable abelian groups

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