The Frattini p-subsystem of a solvable restricted Lie triple system |
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| Authors: | Liang Yun Chen Dong Liu |
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| Institution: | 1. School of Mathematics and Statistics, Northeast Normal University, Changchun, 130024, P. R. China
2. Department of Mathematics, Huzhou Teachers College, Huzhou, 313000, P. R. China
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| Abstract: | As a natural generalization of a restricted Lie algebra, a restricted Lie triple system was defined by Hodge. In this paper,
we develop initially the Frattini theory for restricted Lie triple systems, generalize some results of Frattini p-subalgebra for restricted Lie algebras, obtain some properties of the Frattini p-subsystem and give the relationship between φ
p
(T) and φ(T) for solvable Lie triple systems. |
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| Keywords: | Restricted Lie triple systems solvable Lie triple systems the Frattini p-subsystem the Frattini p-ideal |
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