Question

Proof Elliptic Curve Torsion is Unramified

score 131 · Answer 1 · 2021-06-22 14:31:44

131

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Proof Elliptic Curve Torsion is Unramified

Published on 22 Jun 2021 - 14:31

score 48 · Answer 2 · 2021-07-07 07:03:19

48

Views

Is this module torsion?

Published on 07 Jul 2021 - 7:03

score 280 · Answer 3 · 2021-07-18 13:24:50

280

Views

Why is the order of the n-torsion subgroup equals to $n^2$?

Published on 18 Jul 2021 - 13:24

score 22 · Answer 4 · 2021-08-19 22:53:01

22

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Does an even dimensional anisotropic form represent an even number of square classes?

Published on 19 Aug 2021 - 22:53

score 98 · Answer 5 · 2021-08-21 16:47:41

98

Views

Using a particular theorem, characterise abelian groups which have only finitely many elements of each order (including $\infty$)

Published on 21 Aug 2021 - 16:47

score 118 · Answer 6 · 2021-09-06 20:33:16

118

Views

Let $G$ be a torsion-free abelian group, prove that for $g\neq h\in G$ there exists a homomorphism $\phi:G\to\Bbb{R}$ such that $\phi(g)\neq\phi(h)$

Published on 06 Sep 2021 - 20:33

score 150 · Answer 7 · 2021-09-27 17:33:54

150

Views

If $G$ is abelian and ${\rm Aut}(G)$ is finite, prove that $G$ has finite torsion subgroup.

Published on 27 Sep 2021 - 17:33

score 157 · Answer 8 · 2026-02-23 06:20:31

157

Views

An abelian torsion group has a unique basic subgroup iff it is divisible or bounded.

Published on 23 Feb 2026 - 6:20

score 67 · Answer 9 · 2021-10-23 09:37:52

67

Views

Elliptic curve over $\mathbb{Q}$ with two distinct non-torsion points $P$ and $Q$ such that $nP \neq mQ$ for all $n,m \in \mathbb{Z}-\{0\}$.

Published on 23 Oct 2021 - 9:37

score 37 · Answer 10 · 2021-11-01 07:33:06

37

Views

Torsion free groups with no unique products (notation)

Published on 01 Nov 2021 - 7:33

score 156 · Answer 11 · 2021-11-03 09:44:06

156

Views

Torsion point on elliptic curve over $\mathbb{Q},$ $E/\mathbb{Q}$

Published on 03 Nov 2021 - 9:44

score 80 · Answer 12 · 2021-11-12 11:23:11

80

Views

Structure of torsion subgroups in an elliptic curve with integer coefficients

Published on 12 Nov 2021 - 11:23

score 266 · Answer 13 · 2021-12-17 10:52:18

266

Views

Proving that a torsion subgroup is normal

Published on 17 Dec 2021 - 10:52

score 85 · Answer 14 · 2022-02-07 18:07:51

85

Views

Let $A$ be abelian of order $m^2$ with $|A[d]|=d^2$ for every $d\mid m$. Prove $A\cong \Bbb{Z}/m\Bbb{Z}\times\Bbb{Z}/m\Bbb{Z}$

Published on 07 Feb 2022 - 18:07

score 168 · Answer 15 · 2022-02-08 09:28:17

168

Views

Injection of rational torsion points over elliptic curve over integers in to $\Bbb F_p$-torsion points via finite flat group schemes

Published on 08 Feb 2022 - 9:28

List Question

Proof Elliptic Curve Torsion is Unramified

Is this module torsion?

Why is the order of the n-torsion subgroup equals to $n^2$?

Does an even dimensional anisotropic form represent an even number of square classes?

Using a particular theorem, characterise abelian groups which have only finitely many elements of each order (including $\infty$)

Let $G$ be a torsion-free abelian group, prove that for $g\neq h\in G$ there exists a homomorphism $\phi:G\to\Bbb{R}$ such that $\phi(g)\neq\phi(h)$

If $G$ is abelian and ${\rm Aut}(G)$ is finite, prove that $G$ has finite torsion subgroup.

An abelian torsion group has a unique basic subgroup iff it is divisible or bounded.

Elliptic curve over $\mathbb{Q}$ with two distinct non-torsion points $P$ and $Q$ such that $nP \neq mQ$ for all $n,m \in \mathbb{Z}-\{0\}$.

Torsion free groups with no unique products (notation)

Torsion point on elliptic curve over $\mathbb{Q},$ $E/\mathbb{Q}$

Structure of torsion subgroups in an elliptic curve with integer coefficients

Proving that a torsion subgroup is normal

Let $A$ be abelian of order $m^2$ with $|A[d]|=d^2$ for every $d\mid m$. Prove $A\cong \Bbb{Z}/m\Bbb{Z}\times\Bbb{Z}/m\Bbb{Z}$

Injection of rational torsion points over elliptic curve over integers in to $\Bbb F_p$-torsion points via finite flat group schemes

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