论文标题

在有限的团体上,有一定的补充$ p $ -subgroups

On finite groups with certain complemented $p$-subgroups

论文作者

Zeng, Yu

论文摘要

给定Prime Power $ P^D $带有$ p $ A Pripe和$ d $ a正整数,我们将有限的组$ g $与$ p^{2d} $分配$ | g | $,其中所有订单$ p^d $的订单子群都补充了$ g $ g $,所有的$ g $均为正常的abelian sylow sylow $ p $ p $ p $ p $ p $ p $ p $ p $ p $ p^d d d d d p $ p $ p $ p $ p $ p $ p $ p $ p $ p^d d d p^订单$ p^d $的子组得到补充。

Given a prime power $p^d$ with $p$ a prime and $d$ a positive integer, we classify the finite groups $G$ with $p^{2d}$ dividing $|G|$ in which all subgroups of order $p^d$ are complemented and the finite groups $G$ having a normal elementary abelian Sylow $p$-subgroup $P$ such that $p^d<|P|$ in which all subgroups of order $p^d$ are complemented.

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