Question

Why is $\wedge ^2 E[p] \cong \mu_p$?

score 84 · Answer 1 · 2026-03-26 14:19:48

84

Views

Why is $\wedge ^2 E[p] \cong \mu_p$?

Published on 26 Mar 2026 - 14:19

score 34 · Answer 2 · 2026-03-25 16:08:28

34

Views

Size of torsion subgroup of an abelian variety

Published on 25 Mar 2026 - 16:08

score 34 · Answer 3 · 2026-03-26 14:22:55

34

Views

Suppose $\mathbb{Q}(E[N]) = \mathbb{Q}(\zeta_N)$ and let $P$ be a rational point of order $N$, show $E[N]\cong \mathbb{Z}/N\mathbb{Z}\times \mu_N$

Published on 26 Mar 2026 - 14:22

score 42 · Answer 4 · 2026-04-26 09:09:53

42

Views

Category of pair $(V,L)$ where $V$ is finite dim vector space and $L:V\to V$ is equivalent to the category of torsion finitely generated $K[T]$ module

Published on 26 Apr 2026 - 9:09

score 18 · Answer 5 · 2026-05-04 05:23:38

18

Views

For a PID $R$ prove that restriction-of-scalars induces equivalence of categories $\coprod_p (R_{(p)}-\mathrm{mod})_{tors}\to (R-\mathrm{mod})_{tors}$

Published on 04 May 2026 - 5:23

score 108 · Answer 6 · 2026-03-26 14:24:56

108

Views

Torsion elements of $SL_3(\mathbb{F}_p[x])$? (Quick question)

Published on 26 Mar 2026 - 14:24

score 332 · Answer 7 · 2026-03-26 14:22:37

332

Views

Abelian group of rational points of an elliptic curve

Published on 26 Mar 2026 - 14:22

score 471 · Answer 8 · 2026-03-26 14:21:13

471

Views

Abelian torsion group of rational points of an elliptic curve

Published on 26 Mar 2026 - 14:21

score 361 · Answer 9 · 2026-03-26 14:21:12

361

Views

Mazur's theorem-abelian group of rational points of an elliptic curve

Published on 26 Mar 2026 - 14:21

score 319 · Answer 10 · 2026-03-26 14:23:03

319

Views

Mazur's theorem-abelian torsion group of rational points of an elliptic curve

Published on 26 Mar 2026 - 14:23

score 129 · Answer 11 · 2026-03-26 14:19:43

129

Views

Determine if $E(\mathbb{Q})$ is finite or infinite.

Published on 26 Mar 2026 - 14:19

score 68 · Answer 12 · 2026-03-26 14:21:10

68

Views

Looking for example(s) of infinite abelian group $G$ , other than $\mathbb Q / \mathbb Z$, such that $\mathbb Z^+=\{o(g):g \in G\}$

Published on 26 Mar 2026 - 14:21

score 458 · Answer 13 · 2026-04-17 06:11:27

458

Views

Products of torsion groups

Published on 17 Apr 2026 - 6:11

score 292 · Answer 14 · 2026-03-26 14:18:48

292

Views

Torsion and inverse limits

Published on 26 Mar 2026 - 14:18

score 3.1k · Answer 15 · 2026-03-26 14:20:50

3.1k

Views

An abelian group A is torsion iff A ⊗ Q = 0

Published on 26 Mar 2026 - 14:20

List Question

Why is $\wedge ^2 E[p] \cong \mu_p$?

Size of torsion subgroup of an abelian variety

Suppose $\mathbb{Q}(E[N]) = \mathbb{Q}(\zeta_N)$ and let $P$ be a rational point of order $N$, show $E[N]\cong \mathbb{Z}/N\mathbb{Z}\times \mu_N$

Category of pair $(V,L)$ where $V$ is finite dim vector space and $L:V\to V$ is equivalent to the category of torsion finitely generated $K[T]$ module

For a PID $R$ prove that restriction-of-scalars induces equivalence of categories $\coprod_p (R_{(p)}-\mathrm{mod})_{tors}\to (R-\mathrm{mod})_{tors}$

Torsion elements of $SL_3(\mathbb{F}_p[x])$? (Quick question)

Abelian group of rational points of an elliptic curve

Abelian torsion group of rational points of an elliptic curve

Mazur's theorem-abelian group of rational points of an elliptic curve

Mazur's theorem-abelian torsion group of rational points of an elliptic curve

Determine if $E(\mathbb{Q})$ is finite or infinite.

Looking for example(s) of infinite abelian group $G$ , other than $\mathbb Q / \mathbb Z$, such that $\mathbb Z^+=\{o(g):g \in G\}$

Products of torsion groups

Torsion and inverse limits

An abelian group A is torsion iff A ⊗ Q = 0

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