Acta mathematica scientia,Series A ›› 2008, Vol. 28 ›› Issue (6): 1222-1226.
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Guo Xiuyun|Zhao Xianhe
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Abstract:
A subgroup of a group G is said to be π-quasinormal in G if it permutes with every Sylow subgroup of G, which was firstly posed by Kegel. Since then, a long series of papers deal with π-quasinormality well located in G. In this paper we localize the above conditions in the G-normalizer of Sylow subgroups of the group G.
Key words: Finite groups, Maximal subgroups, π-quasinormal, Saturated formations
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Guo Xiuyun|Zhao Xianhe. π-quasinormality of the Maximal Subgroups of a Sylow Subgroup in a Local Subgroup[J].Acta mathematica scientia,Series A, 2008, 28(6): 1222-1226.
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