List questions from finitely-generated

Published on 29 Apr 2015 - 0:01

4.4k

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For groups $A,B,C$, if $A\times B$ and $A\times C$ are isomorphic do we have $B$ isomorphic to $C$?

Published on 29 Apr 2015 - 9:14

154

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About a relation of non-discernability between (classes of) finitely generated groups.

Published on 01 May 2015 - 8:32

1.1k

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Under what conditions does a quotient module $A/B\cong C$ imply the direct sum $A\cong B\oplus C$?

Published on 09 May 2015 - 20:47

1.5k

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Determine Isomorphism type

Published on 12 May 2015 - 19:11

248

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Is there a "uniform" Folner sequence consisting of balls for f.p. groups with polynomial growth?

Published on 23 Feb 2026 - 6:04

81

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Rank-complement subgroup existence

Published on 11 Jun 2015 - 7:52

545

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Number of elements in a finite abelian groups

Published on 18 Jun 2015 - 13:56

869

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Example of subgroup of $\mathbb Q$ which is not finitely generated

Published on 02 Jul 2015 - 3:36

169

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Describing all elements in a factor group using the structure theorem for finitely generated abelian groups

Published on 07 Jul 2015 - 14:07

443

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Quotient group of free groups

Published on 14 Jul 2015 - 4:38

847

Views

Tensor product isomorphic to a free module

Published on 21 Jul 2015 - 11:55

183

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Why is every subgroup of a finitely generated nilpotent group closed in the profinite topology?

Published on 26 Mar 2026 - 1:29

722

Views

What finitely generated amenable groups are known to be LERF?

Published on 23 Feb 2026 - 6:05

19

Views

Automorphism of two members as Generator

Published on 25 Aug 2015 - 12:15

List Question

Generating subgroups of $S_3$

For groups $A,B,C$, if $A\times B$ and $A\times C$ are isomorphic do we have $B$ isomorphic to $C$?

About a relation of non-discernability between (classes of) finitely generated groups.

Under what conditions does a quotient module $A/B\cong C$ imply the direct sum $A\cong B\oplus C$?

Determine Isomorphism type

Is there a "uniform" Folner sequence consisting of balls for f.p. groups with polynomial growth?

Rank-complement subgroup existence

Number of elements in a finite abelian groups

Example of subgroup of $\mathbb Q$ which is not finitely generated

Describing all elements in a factor group using the structure theorem for finitely generated abelian groups

Quotient group of free groups

Tensor product isomorphic to a free module

Why is every subgroup of a finitely generated nilpotent group closed in the profinite topology?

What finitely generated amenable groups are known to be LERF?

Automorphism of two members as Generator

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