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Topic: Torsion subgroup

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	PlanetMath: torsion
		the torsion consists only of the identity element.
		Cross-references: circle, finite group, fully invariant, subgroup, locally nilpotent, abelian, identity element, group
		This is version 5 of torsion, born on 2003-01-07, modified 2006-02-16.
	planetmath.org /encyclopedia/TorsionGroup.html (72 words)

	Modulo Errors » The Torsion subgroup of an Elliptic Curve
		Thus it consists of a finite part- the torsion subgroup - and a free abelian part, the rank of which is notoriously difficult to compute.
		However, the torsion subgroup is relatively accessible, and this is something I’ve been playing with for a while.
		This result is particularly handy as it allows for an experimental approach to be taken, gathering enough computational evidence to determine which form the torsion subgroup takes; knowledge of the order of points being especially useful.
	maths.straylight.co.uk /archives/57 (0 words)

	High rank elliptic curves with prescribed torsion
		Let T be an admissible torsion group for an elliptic curve over the rationals.
		Lecacheux, Rang de courbes elliptiques sur Q avec un groupe de torsion isomorphe a Z/5Z, C.
		Infinite families of elliptic curves with high rank and prescribed torsion
	web.math.hr /~duje/tors/tors.html (0 words)

	UWM Math: Torsion Theory
		An element of an Abelian group is said to be torsion if it has finite order; the collection of all elements of finite order in an Abelian group forms a subgroup called the torsion subgroup.
		The subject of "Torsion theory" is an axiomatic generalization of this notion to modules over arbitrary rings.
		The member of the algebra group who works in this area is Mark Teply.
	www.uwm.edu /Dept/Math/Research/Algebra/torsion/torsion.html (0 words)

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