Question

Inequalities between $\text{class}(G)$ and $\text{rank}(G/[G,G])$ for f.g. nilpotent $G$

score 61 · Answer 1 · 2026-03-26 08:23:12

61

Views

Inequalities between $\text{class}(G)$ and $\text{rank}(G/[G,G])$ for f.g. nilpotent $G$

Published on 26 Mar 2026 - 8:23

score 1.1k · Answer 2 · 2017-04-04 19:09:46

1.1k

Views

Show that the vector space of real functions is not finitely spanned

Published on 04 Apr 2017 - 19:09

score 199 · Answer 3 · 2023-02-03 20:22:31

199

Views

Finitely generated group has automorphism mapping between two elements of the same order?

Published on 03 Feb 2023 - 20:22

score 63 · Answer 4 · 2026-03-26 21:09:14

63

Views

Finitely generated abelian groups $G,H$ with the same finite quotients (up to isomorphism) are isomorphic

Published on 26 Mar 2026 - 21:09

score 46 · Answer 5 · 2026-03-23 01:06:27

46

Views

Noether Normalization and Lie Algebra of derivations on a commutative algebra $A$

Published on 23 Mar 2026 - 1:06

score 186 · Answer 6 · 2023-02-15 12:52:51

186

Views

Minimum size of a minimal generating set of a finite abelian group

Published on 15 Feb 2023 - 12:52

score 112 · Answer 7 · 2023-02-15 19:09:37

112

Views

Is the intersection of finite submodules a finite submodule?

Published on 15 Feb 2023 - 19:09

score 98 · Answer 8 · 2023-02-17 15:35:17

98

Views

Existence of one finite presentation implies all other presentations are also finite for modules?

Published on 17 Feb 2023 - 15:35

score 95 · Answer 9 · 2026-03-26 19:03:09

95

Views

What is the order of a group given three generators, $a^2=b^3=c^4=1$ and $cb=ac$

Published on 26 Mar 2026 - 19:03

score 47 · Answer 10 · 2023-03-04 18:06:39

47

Views

If an Ideal I is not finitely generated and then I+(a) is not finitely generated.

Published on 04 Mar 2023 - 18:06

score 68 · Answer 11 · 2023-03-11 17:28:31

68

Views

optimization problem over finite groups (or at least finitely generated groups)

Published on 11 Mar 2023 - 17:28

score 522 · Answer 12 · 2026-03-27 01:46:06

522

Views

If $R$ is a Noetherian ring, then $R^n$ is Noetherian

Published on 27 Mar 2026 - 1:46

score 96 · Answer 13 · 2026-03-26 03:19:13

96

Views

tetration primitive root $q \mod p$

Published on 26 Mar 2026 - 3:19

score 41 · Answer 14 · 2023-04-04 14:00:37

41

Views

Proof of Fundamental Theorem of Finitely Generated Abelian Groups using Divisibility Ordering of Integers

Published on 04 Apr 2023 - 14:00

score 79 · Answer 15 · 2026-03-27 11:47:44

79

Views

Finitely generated group where $|g^n|=o(n)$ for all $g\in G$.

Published on 27 Mar 2026 - 11:47

List Question

Inequalities between $\text{class}(G)$ and $\text{rank}(G/[G,G])$ for f.g. nilpotent $G$

Show that the vector space of real functions is not finitely spanned

Finitely generated group has automorphism mapping between two elements of the same order?

Finitely generated abelian groups $G,H$ with the same finite quotients (up to isomorphism) are isomorphic

Noether Normalization and Lie Algebra of derivations on a commutative algebra $A$

Minimum size of a minimal generating set of a finite abelian group

Is the intersection of finite submodules a finite submodule?

Existence of one finite presentation implies all other presentations are also finite for modules?

What is the order of a group given three generators, $a^2=b^3=c^4=1$ and $cb=ac$

If an Ideal I is not finitely generated and then I+(a) is not finitely generated.

optimization problem over finite groups (or at least finitely generated groups)

If $R$ is a Noetherian ring, then $R^n$ is Noetherian

tetration primitive root $q \mod p$

Proof of Fundamental Theorem of Finitely Generated Abelian Groups using Divisibility Ordering of Integers

Finitely generated group where $|g^n|=o(n)$ for all $g\in G$.

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