torsion subgroup

noun

Subgroup of an abelian group whose generators have finite order.

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Meanings

nountorsion subgroup (plural torsion subgroups)

plural torsion subgroups

  1. algebraSubgroup of an abelian group whose generators have finite order.

    A standard theorem about finitely generated abelian groups tells us that E(#92;mathbb#123;Q#125;) looks like #92;qquadE(#92;mathbb#123;Q#125;)#92;cong(#92;mbox#123;FiniteGroup#125;)#92;times#92;underbrace#123;#92;mathbb#123;Z#125;#92;times#92;mathbb#123;Z#125;#92;times...#92;times#92;mathbb#123;Z

    2006 July 7, Joseph H. Silverman, An Introduction to the Theory of Elliptic Curves
Cite this entry
APA

torsion subgroup. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/torsion%20subgroup

MLA

“torsion subgroup.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/torsion%20subgroup. Accessed November 4, 2026.

Chicago

WatkinsX Dictionary, s.v. “torsion subgroup,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/torsion%20subgroup.

Source: torsion subgroup on Wiktionary, CC BY-SA 4.0.