List questions from torsion-groups

Published on 01 Nov 2017 - 9:29

928

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Trying to construct an elliptic curve pairing (Tate) example. Can someone help me figure out where my mistake is?

Published on 25 Mar 2026 - 11:15

124

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Points with 0 $x$-coordinate in $r$-torsion and distortion map

Published on 12 Nov 2017 - 15:06

23

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How to compute largest divisor in exterior product

Published on 17 Nov 2017 - 8:23

163

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Why If $f: A \rightarrow B$ is an $R$- module homomorphism then $f(T(A)) \subset T(B)$?

Published on 30 Nov 2017 - 1:03

200

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Weil pairing on $E[p]$ is trivial

Published on 25 Mar 2026 - 21:31

686

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Torsion in geometry v.s. Torsion in topology?

Published on 26 Aug 2020 - 20:19

343

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Torsion abelian group and divisible group

Published on 09 Sep 2020 - 0:41

278

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Why the group should be Abelian to say that $(xy)^{mn} = x^{mn} y^{mn}$?

Published on 11 Sep 2020 - 17:55

304

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A simple reason that $\text{Tor}(\mathbb{C}^{*}) \neq S^1.$

Published on 13 Sep 2020 - 8:03

63

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Show that $z \notin Tor(\mathbb{C^*}).$

Published on 14 Sep 2020 - 7:21

157

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Finding $\operatorname{Tor}(G)$ for the Heisenberg group.

Published on 15 Sep 2020 - 7:20

57

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If $Z(G)<G$ and $\forall a\in G\setminus Z(G)$, $|a|<\infty$, then $G$ is periodic.

Published on 03 Oct 2020 - 23:48

487

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Torsion in the first Homology group

Published on 11 Nov 2020 - 14:16

49

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$0 \to G' \xrightarrow{\alpha} G \xrightarrow{\beta} G'' \to 0$ exact sequence, $G$ is torsion group if and only if $G'$ and $G''$ are torsion groups.

Published on 20 Nov 2020 - 23:52

List Question

Difference between torsion and Lie bracket

Trying to construct an elliptic curve pairing (Tate) example. Can someone help me figure out where my mistake is?

Points with 0 $x$-coordinate in $r$-torsion and distortion map

How to compute largest divisor in exterior product

Why If $f: A \rightarrow B$ is an $R$- module homomorphism then $f(T(A)) \subset T(B)$?

Weil pairing on $E[p]$ is trivial

Torsion in geometry v.s. Torsion in topology?

Torsion abelian group and divisible group

Why the group should be Abelian to say that $(xy)^{mn} = x^{mn} y^{mn}$?

A simple reason that $\text{Tor}(\mathbb{C}^{*}) \neq S^1.$

Show that $z \notin Tor(\mathbb{C^*}).$

Finding $\operatorname{Tor}(G)$ for the Heisenberg group.

If $Z(G)<G$ and $\forall a\in G\setminus Z(G)$, $|a|<\infty$, then $G$ is periodic.

Torsion in the first Homology group

$0 \to G' \xrightarrow{\alpha} G \xrightarrow{\beta} G'' \to 0$ exact sequence, $G$ is torsion group if and only if $G'$ and $G''$ are torsion groups.

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