Some Results on p-Nilpotence and Solubility of Finite Groups☆
Some Results on p-Nilpotence and Solubility of Finite Groups☆
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DOI：
10.1006/jabr.1999.8274
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发表时间：
2000-06
影响因子：
0.9
通讯作者：
A. Ballester-Bolinches;Guo Xiuyun
中科院分区：
文献类型：
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作者：
A. Ballester-Bolinches;Guo Xiuyun
伯恩赛德的一个著名结果是：如果p是整除有限群G的阶的素数，且P是G的Sylow p-子群，使得P在其正规化子的中心，则G是p-幂零的，即G有正规Hall p-子群。
A well-known result due to Burnside asserts that if p is a prime dividing the order of a finite group G and if P is a Sylow p-subgroup of G such that P is in the center of its normalizer, then G is p-nilpotent, that is, G has a normal Hall p-subgroup.