Question

Is an group determined by its torsion part and torsion-free part?

score 864 · Answer 1 · 2020-12-03 17:16:33

864

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Is an group determined by its torsion part and torsion-free part?

Published on 03 Dec 2020 - 17:16

score 122 · Answer 2 · 2020-12-03 20:09:32

122

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Bound on the coordinates of torsion points on the elliptic curve: $y^2 = x^3 - k^2x + k^3$

Published on 03 Dec 2020 - 20:09

score 234 · Answer 3 · 2020-12-03 22:28:49

234

Views

Rank of the quotient of an Abelian group by its torsion part?

Published on 03 Dec 2020 - 22:28

score 205 · Answer 4 · 2021-01-09 23:15:45

205

Views

Let $G$ be a group with center $Z<G$. Prove that if every element in $G\setminus Z$ has finite order, then $G$ is periodic.

Published on 09 Jan 2021 - 23:15

score 57 · Answer 5 · 2026-03-25 20:50:23

57

Views

Give example(s) of elements that inside torsion part of cohomology group after quotient

Published on 25 Mar 2026 - 20:50

score 287 · Answer 6 · 2026-03-26 12:53:03

287

Views

Torsion in absolute Galois groups

Published on 26 Mar 2026 - 12:53

score 140 · Answer 7 · 2021-01-21 11:18:59

140

Views

How to choose ultraproducts to prove that the class of finite ($p$, torsion) groups is not elementary?

Published on 21 Jan 2021 - 11:18

score 348 · Answer 8 · 2026-02-23 06:25:22

348

Views

A divisible abelian group is the direct sum of torsion subgroup and a torsion-free divisible subgroup.

Published on 23 Feb 2026 - 6:25

score 305 · Answer 9 · 2021-03-21 15:28:35

305

Views

Relation between Picard group of affine curve and the projective closure

Published on 21 Mar 2021 - 15:28

score 158 · Answer 10 · 2021-04-05 21:53:13

158

Views

Finding elliptic curves with given torsion structure

Published on 05 Apr 2021 - 21:53

score 58 · Answer 11 · 2021-04-29 21:53:37

58

Views

Show that $E(K)/2E(K)$ is finite

Published on 29 Apr 2021 - 21:53

score 72 · Answer 12 · 2021-05-07 15:14:00

72

Views

Neukirch prop(2.10) Why $adM$ implies $M$ is free?

Published on 07 May 2021 - 15:14

score 71 · Answer 13 · 2026-03-26 06:31:43

71

Views

If $G$ is a nilpotent torsion group of nilpotence class $c$, then $\exp(G)$ divides $\exp(G^{\operatorname{ab}})^c$

Published on 26 Mar 2026 - 6:31

score 351 · Answer 14 · 2021-06-11 15:53:50

351

Views

Finding torsion points of given order on elliptic curve

Published on 11 Jun 2021 - 15:53

score 139 · Answer 15 · 2021-06-21 20:10:37

139

Views

Torsion Points and Reduction of Elliptic Curves

Published on 21 Jun 2021 - 20:10

List Question

Is an group determined by its torsion part and torsion-free part?

Bound on the coordinates of torsion points on the elliptic curve: $y^2 = x^3 - k^2x + k^3$

Rank of the quotient of an Abelian group by its torsion part?

Let $G$ be a group with center $Z<G$. Prove that if every element in $G\setminus Z$ has finite order, then $G$ is periodic.

Give example(s) of elements that inside torsion part of cohomology group after quotient

Torsion in absolute Galois groups

How to choose ultraproducts to prove that the class of finite ($p$, torsion) groups is not elementary?

A divisible abelian group is the direct sum of torsion subgroup and a torsion-free divisible subgroup.

Relation between Picard group of affine curve and the projective closure

Finding elliptic curves with given torsion structure

Show that $E(K)/2E(K)$ is finite

Neukirch prop(2.10) Why $adM$ implies $M$ is free?

If $G$ is a nilpotent torsion group of nilpotence class $c$, then $\exp(G)$ divides $\exp(G^{\operatorname{ab}})^c$

Finding torsion points of given order on elliptic curve

Torsion Points and Reduction of Elliptic Curves

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