torsion group


Also found in: Wikipedia.

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.
Mentioned in ?
References in periodicals archive ?
It will be built by Coventry-based firm Torsion Group, who are also developing student accommodation in Sheffield, ready for the 2019 academic year.
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.
Rats were randomly divided into 6 groups: (1) sham group (n = 10): rats received sham operations with no additional interventions; (2) torsion group (n=10); (3) torsion/detorsion (T/D) group (n=10) and (4) T/D + LXA4-pretreated groups (n=10 in each subgroup, 3 subgroups in total).
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.
We observed a typical cells with nuclei, congestion in blood vessels and inflammatory cell infiltration in the sections of tuba uterina in torsion group. In the present study, Potentilla fulgens prevented the hemorrhage and degree of vascular dilatation, and congestion.
Crosslane has planning consent for the site and has appointed Day Architectural Ltd and Torsion Group as the main architects and contractors respectively.
Histopathological evaluation revealed hemorrhage under the tunica albuginea, peritesticular soft tissue and between the seminiferous tubules in the torsion group. No necrosis was seen.
Although in the detorsion group, serum AMH concentrations were higher than those in the torsion groups, the discrepancies between the two groups were not statistically significant (5).