The locally solvable radical of torsion groups

Citation
Zr. Zhang et Wz. Yang, The locally solvable radical of torsion groups, COMM ALGEB, 28(8), 2000, pp. 3987-3991
Citations number
9
Categorie Soggetti
Mathematics
Journal title
COMMUNICATIONS IN ALGEBRA
ISSN journal
00927872 → ACNP
Volume
28
Issue
8
Year of publication
2000
Pages
3987 - 3991
Database
ISI
SICI code
0092-7872(2000)28:8<3987:TLSROT>2.0.ZU;2-H
Abstract
The existence of the locally solvable radical in a torsion group is establi shed, and this is identified with an intersection of prime normal subgroups . As a consequence a structure theorem is obtained for torsion groups. Also the properties of the solvable radical in an arbitrary group are investiga ted in the case where the radical exists.