List questions from infinite-groups

Published on 04 Oct 2016 - 2:42

220

Views

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

Published on 05 Oct 2016 - 5:05

1.3k

Views

Number of homomorphisms from a finite group to an infinite group

Published on 06 Oct 2016 - 0:31

339

Views

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

Published on 08 Oct 2016 - 4:30

212

Views

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

Published on 08 Oct 2016 - 9:26

5.7k

Views

Subgroup of infinite group

Published on 16 Oct 2016 - 17:50

35

Views

Equivalence relation on cosets

Published on 20 Oct 2016 - 6:57

61

Views

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

Published on 24 Oct 2016 - 14:49

66

Views

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

Published on 25 Oct 2016 - 20:38

303

Views

Groups with several direct product decompositions

Published on 27 Oct 2016 - 12:53

1.1k

Views

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

Published on 29 Oct 2016 - 0:37

194

Views

Is this an isomorphism possible?

Published on 05 Nov 2016 - 22:39

330

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 06 Nov 2016 - 6:35

61

Views

Group with a special generating set

Published on 09 Nov 2016 - 18:31

352

Views

Infinite-dimensional irreducible representations of countable abelian groups

Published on 26 Mar 2026 - 4:32

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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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