Question

Why is $E[l]\cong\mathbb Z/l\mathbb Z\times\mathbb Z/l\mathbb Z$ for an elliptic curve $E$?

score 83 · Answer 1 · 2015-03-26 02:05:55

83

Views

Why is $E[l]\cong\mathbb Z/l\mathbb Z\times\mathbb Z/l\mathbb Z$ for an elliptic curve $E$?

Published on 26 Mar 2015 - 2:05

score 72 · Answer 2 · 2015-05-09 11:32:28

72

Views

Estimation of the order of torsion in $\mathrm{GL}(n,\mathbb Z)$

Published on 09 May 2015 - 11:32

score 7.3k · Answer 3 · 2015-06-09 20:49:27

7.3k

Views

Is it true that a flat module is torsion-free over an arbitrary ring? Does the reverse implication hold for finitely generated modules?

Published on 09 Jun 2015 - 20:49

score 1k · Answer 4 · 2015-06-16 21:01:28

1k

Views

Help with proving that the torsion subgroup of $y^2=x^3+x$ is $E(\mathbb{Q})_{tors} \cong \mathbb{Z}/2\mathbb{Z}$

Published on 16 Jun 2015 - 21:01

score 193 · Answer 5 · 2015-06-22 05:46:54

193

Views

Finite submodules of infinite torsion module

Published on 22 Jun 2015 - 5:46

score 162 · Answer 6 · 2015-08-31 11:54:11

162

Views

Short exact sequence of groups schemes and dimensions

Published on 31 Aug 2015 - 11:54

score 219 · Answer 7 · 2015-10-06 16:51:36

219

Views

Endomorphism rings and torsion subgroups.

Published on 06 Oct 2015 - 16:51

score 201 · Answer 8 · 2015-11-24 20:56:14

201

Views

Exercises Involving Torsion and Abelian Groups

Published on 24 Nov 2015 - 20:56

score 700 · Answer 9 · 2015-12-15 05:16:29

700

Views

find the structure of an elliptic curve over a finite field

Published on 15 Dec 2015 - 5:16

score 415 · Answer 10 · 2015-12-27 11:53:06

415

Views

Characterization of the $m$-torsion points of an elliptic curve.

Published on 27 Dec 2015 - 11:53

score 1.8k · Answer 11 · 2016-02-15 18:09:10

1.8k

Views

Axiomatizability of some classes of groups

Published on 15 Feb 2016 - 18:09

score 123 · Answer 12 · 2016-02-15 20:31:59

123

Views

Torsion elements with relatively prime orders

Published on 15 Feb 2016 - 20:31

score 117 · Answer 13 · 2016-04-01 17:08:26

117

Views

$\mathrm{Tor}(M/\mathrm{Tor}(M))=0$ for an $A$-module $M$?

Published on 01 Apr 2016 - 17:08

score 702 · Answer 14 · 2013-09-29 01:03:51

702

Views

How do you prove that the torsion subgroup homomorphism $\bigoplus_p A(p) \rightarrow A$ is surjective.

Published on 29 Sep 2013 - 1:03

score 93 · Answer 15 · 2013-09-29 06:18:29

93

Views

Name that group! Generalization of $A(p)$ for abelian groups.

Published on 29 Sep 2013 - 6:18

List Question

Why is $E[l]\cong\mathbb Z/l\mathbb Z\times\mathbb Z/l\mathbb Z$ for an elliptic curve $E$?

Estimation of the order of torsion in $\mathrm{GL}(n,\mathbb Z)$

Is it true that a flat module is torsion-free over an arbitrary ring? Does the reverse implication hold for finitely generated modules?

Help with proving that the torsion subgroup of $y^2=x^3+x$ is $E(\mathbb{Q})_{tors} \cong \mathbb{Z}/2\mathbb{Z}$

Finite submodules of infinite torsion module

Short exact sequence of groups schemes and dimensions

Endomorphism rings and torsion subgroups.

Exercises Involving Torsion and Abelian Groups

find the structure of an elliptic curve over a finite field

Characterization of the $m$-torsion points of an elliptic curve.

Axiomatizability of some classes of groups

Torsion elements with relatively prime orders

$\mathrm{Tor}(M/\mathrm{Tor}(M))=0$ for an $A$-module $M$?

How do you prove that the torsion subgroup homomorphism $\bigoplus_p A(p) \rightarrow A$ is surjective.

Name that group! Generalization of $A(p)$ for abelian groups.

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