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- Title
Some subsystems of a lie triple system closely related to its Frattini subsystem.
- Authors
Chen, Liangyun; Liu, Dong; Xu, Xiaoning
- Abstract
The main purpose of the present paper is to give some properties of the Jacobson radical, the Frattini subsystem and c-ideals of a Lie triple system. Some further results concerning the Frattini subsystems of nilpotent and solvable Lie triple systems are obtained. Moreover, we develop initially c-ideals for a Lie triple system and make use of them to give some characterizations of a solvable Lie triple system.
- Subjects
FRATTINI subgroups; JACOBSON radical; RADICAL theory; SOLVABLE groups; NILPOTENT groups; MAXIMAL subgroups
- Publication
Chinese Annals of Mathematics, 2013, Vol 34, Issue 5, p791
- ISSN
0252-9599
- Publication type
Article
- DOI
10.1007/s11401-013-0786-8