Finite groups in which Sylow normalizers have nilpotent Hall supplements

被引：0
作者：
Baojun Li
Wenbin Guo
Jianhong Huang
机构：
[1] Chengdu University of Information Technology,
[2] Xuzhou Normal University,undefined
[3] University of Science and Technology of P. R. China,undefined
来源：
Siberian Mathematical Journal | 2009年 / 50卷
关键词：
finite group; Sylow subgroup; normalizer; nilpotent Hall supplement; soluble group;
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学科分类号：
摘要：
The normalizer of each Sylow subgroup of a finite group G has a nilpotent Hall supplement in G if and only if G is soluble and every tri-primary Hall subgroup H (if exists) of G satisfies either of the following two statements: (i) H has a nilpotent bi-primary Hall subgroup; (ii) Let π(H) = {p, q, r}. Then there exist Sylow p-, q-, r-subgroups Hp, Hq, and Hr of H such that Hq ⊆ NH(Hp), Hr ⊆ NH(Hq), and Hp ⊆ NH(Hr).
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页码：667 / 673
页数：6
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Wielandt H.(undefined)undefined undefined undefined undefined-undefined
[10]  
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