List questions from finitely-generated

Published on 19 Jul 2022 - 6:38

62

Views

Is there an algorithm to check that a subgroup of a CAT$(0)$ group is not quasiconvex?

Published on 27 Mar 2026 - 4:38

940

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(Why) Is there no analogue to the classification of finitely generated abelian groups for abelian groups?

Published on 23 Jul 2022 - 23:31

82

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Finitely generated abelian groups clarification

Published on 02 Aug 2022 - 16:35

289

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Exact sequence of modules and freeness

Published on 30 Mar 2026 - 0:34

205

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Automorphism of $\mathbb{Z}^2\rtimes\mathbb{Z}$

Published on 29 Mar 2026 - 22:28

254

Views

Does every finitely generated group have finitely many retracts up to isomorphism?

Published on 23 Feb 2026 - 20:41

89

Views

Finitely presented monoid

Published on 29 Mar 2026 - 16:01

98

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Determine the invariant factors of $\mathbb{Z^2}$

Published on 16 Sep 2022 - 21:44

51

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Equations on Free Groups

Published on 28 Mar 2026 - 2:09

51

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Subring is integral over finitely generated subalgebra

Published on 27 Mar 2026 - 11:45

94

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The $\mathbb{Z}^r$ part in fundamental theorem of finitely generated abelian groups

Published on 25 Oct 2022 - 16:58

163

Views

Does a given subset of an infinite group generate a finite or infinite subgroup?

Published on 27 Mar 2026 - 12:17

45

Views

A field that is a finitely generated $k$ algebra is also a finitely generated $k$-module

Published on 05 Nov 2022 - 0:49

65

Views

$M$ projective and finitely generated implies $Hom_R(M,R)$ is projective and finitely generated

Published on 30 Mar 2026 - 2:24

List Question

A question on glueing modules

Is there an algorithm to check that a subgroup of a CAT$(0)$ group is not quasiconvex?

(Why) Is there no analogue to the classification of finitely generated abelian groups for abelian groups?

Finitely generated abelian groups clarification

Exact sequence of modules and freeness

Automorphism of $\mathbb{Z}^2\rtimes\mathbb{Z}$

Does every finitely generated group have finitely many retracts up to isomorphism?

Finitely presented monoid

Determine the invariant factors of $\mathbb{Z^2}$

Equations on Free Groups

Subring is integral over finitely generated subalgebra

The $\mathbb{Z}^r$ part in fundamental theorem of finitely generated abelian groups

Does a given subset of an infinite group generate a finite or infinite subgroup?

A field that is a finitely generated $k$ algebra is also a finitely generated $k$-module

$M$ projective and finitely generated implies $Hom_R(M,R)$ is projective and finitely generated

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