In this paper the structure of a minimal counterexample among the non-p-nilpotent groups having p-nilpotent p-Sylow normalisers is analysed. Several p-nilpotency criteria and many earlier results follow from our main theorem.
机构:
Shanghai Univ, Dept Math, Shanghai 200444, Peoples R ChinaGuangdong Univ Educ, Dept Math, Guangzhou 510310, Guangdong, Peoples R China
Guo, Xiuyun
Li, Yangming
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Guangdong Univ Educ, Dept Math, Guangzhou 510310, Guangdong, Peoples R ChinaGuangdong Univ Educ, Dept Math, Guangzhou 510310, Guangdong, Peoples R China
Li, Yangming
Su, Ning
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Sun Yat Sen Univ, Dept Math, Guangzhou 510275, Guangdong, Peoples R ChinaGuangdong Univ Educ, Dept Math, Guangzhou 510310, Guangdong, Peoples R China