On p-nilpotency of finite groups with some subgroups π-quasinormally embedded |
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| Authors: | Yangming Li Yanming Wang Huaquan Wei |
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| Affiliation: | (1) Department of Mathematics, Guangdong Institute of Education, Guangzhou, 510310, P.R. China;(2) Department of Mathematics, Zhongshan University, Guangzhou, 510275, P.R. China;(3) Department of Mathematics, Guangxi Teacher’s College, Nanning, 530001, P.R. China |
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| Abstract: | Summary A subgroup H of a group G is said to be π-quasinormal in G if it permutes with every Sylow subgroup of G, and H is said to be π-quasinormally embedded in G if for each prime dividing the order of H, a Sylow p-subgroup of H is also a Sylow p-subgroup of some π-quasinormal subgroups of G. We characterize p-nilpotentcy of finite groups with the assumption that some maximal subgroups, 2-maximal subgroups, minimal subgroups and 2-minimal subgroups are π-quasinormally embedded, respectively. |
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| Keywords: | p-nilpotent group maximal subgroup 2-maximal subgroup minimal subgroup subgroup of prime square order ?-quasinormally embedded subgroup |
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