Local properties of ${p}$-subgroups and ${p}$-nilpotency of finite groups
Received date: 2017-09-25
Online published: 2019-12-31
韩玲玲, 郭秀云 . p-子群的局部性质与有限群的 p-幂零性[J]. 上海大学学报(自然科学版), 2019 , 25(6) : 908 -917 . DOI: 10.12066/j.issn.1007-2861.2031
Let $G$ be a finite group and $P$ be a Sylow $p$-subgroup of $G$. Several sufficient conditions for a finite group G to be $p$-nilpotent group are given by means of some kind of commutativity of a special $p$-subgroup $\it\Omega(P\cap O^{p}(G))$ in $G$.
Key words： $p$-nilpotent group; $p$-subgroup; abelian group
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