torsion group


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torsion group

[′tȯr·shən ‚grüp]
(mathematics)
A group whose elements all have finite period.
For a topological space X, one of a sequence of finite groups Gn (X) such that the homology group Hn (X) is the direct sum of Gn (X) and a number of infinite cyclic groups.
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Crosslane has partnered with the Torsion Group to carry out construction, with the building expected to be finished by August 2017.
By Mazur's theorem, we know that the torsion group of an elliptic curve over Q is one of the following 15 groups: Z/nZ with 1 [less than or equal to] n [less than or equal to] 10 or n = 12, Z/2Z x Z/2mZ with 1 [less than or equal to] m [less than or equal to] 4.
In 2004, Kihara [9] constructed a curve over Q(t) with torsion group Z/4Z and rank [greater than or equal to] 5.
Since E has a point of fourth order and the torsion group of [E.
For torsion group Z/10Z, the curve is given by the equation
3], and the specialized elliptic curve has rank 0, which proves our claim for that torsion group.
Group 2: In this torsion group, we performed detorsion of the twisted testis after 6 hours of unilateral testicular torsion.
After a brief sojourn into groups generated by reflections, he works through groups acting on trees, including free products of groups, Baumslag-Solitar groups, words and Dehn's word problems, a finitely generated infinite torsion group, ray kidder languages and normal forms, the "Lamplighter" group, the geometry of infinite groups, Thompson's group, and the large scale geometry of groups.
Crosslane has planning consent for the site and has appointed Day Architectural Ltd and Torsion Group as the main architects and contractors respectively.
Torsion Group director Dan Spencer said: "Following on from our successful work with Crosslane for the Athena Studios student accommodation development in Birmingham, which opened in September last year, we are delighted to have been appointed as the main contractor on this new scheme.
Histopathological evaluation revealed hemorrhage under the tunica albuginea, peritesticular soft tissue and between the seminiferous tubules in the torsion group.