Characterizations for Supersolvable Lie Algebras

REFERENCES

• Asaad , M. , Ramadan , M. , Shaalan , A. ( 1991 ). Influence of π-quasinormality on maximal subgroups of Sylow subgroups of Fitting subgroup of a finite group . Arch. Math. 56 : 521 – 527 .
   Web of Science ®Google Scholar
• Barnes , D. W. (1967). On the cohomology of soluble Lie algebras. Math. Z. 101:343–349.
   Web of Science ®Google Scholar
• Graaf , W. A. ( 2000 ). Lie Algebras: Theory and Algorithms . North-Holland Mathematical Library . Vol. 56 . Amsterdam : Elsevier Science .
   Google Scholar
• Kramer , O. U. ( 1976 ). Über durchschnitte von untergruppen endlicher auflösbarer gruppen . Math. Z. 148 : 89 – 97 .
   Google Scholar
• Li , D. , Guo , X. ( 2000 ). The influence of c-normality of subgroups on the structure of finite groups . J. Pure and Applied Algebra 150 : 53 – 60 .
   Web of Science ®Google Scholar
• Li , D. , Guo , X. ( 1998 ). The influence of c-normality of subgroups on the structure of finite groups II . Comm. Algebra 26 : 1913 – 1922 .
   Web of Science ®Google Scholar
• Skiba , A. N. ( 2005 ). A note on c-normal subgroups of finite groups . Algebra and Discrete Math. 3 : 85 – 95 .
   Google Scholar
• Marshall , E. I. ( 1967 ). The Frattini subalgebra of a Lie algebra . J. London Math. Soc. 42 : 416 – 422 .
   Web of Science ®Google Scholar
• Stitzinger , E. L. ( 1970 ). On the Frattini subalgebra of a Lie algebra . J. London Math. Soc. 2 : 429 – 438 .
   Web of Science ®Google Scholar
• Towers , D. A. ( 2009 ). C-ideals of Lie algebras . Comm. Algebra 37 : 4366 – 4373 .
   Web of Science ®Google Scholar
• Towers , D. A. ( 1973 ). A Frattini theory for algebras . Proc. London Math. Soc. 27 : 440 – 462 .
   Web of Science ®Google Scholar
• Wang , Y. ( 1996 ). C-normality of groups and its properties . J. Algebra 180 : 954 – 965 .
   Web of Science ®Google Scholar
• Wei , H. ( 2001 ). On c-normal maximal and minimal subgroups of Sylow subgroups of finite groups . Comm. Algebra 29 : 2193 – 2200 .
   Web of Science ®Google Scholar
• Communicated by A. Elduque.
   Google Scholar