Finite groups with permutable Hall subgroups

doi:10.1007/s11464-017-0641-4

Frontiers of Mathematics in China

2017, Vol. 12

Issue (5): 1265-1275 https://doi.org/10.1007/s11464-017-0641-4

本期目录

Finite groups with permutable Hall subgroups

Xia YIN, Nanying YANG(

)

School of Science, Jiangnan University, Wuxi 214122, China

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Abstract：

Let $σ = {σ i | i ∈ I}$ be a partition of the set of all primes $P$ , and let G be a finite group. A set $H$ of subgroups of G is said to be a complete Hall $σ$ -set of G if every member $≠ 1$ of $H$ is a Hall σi-subgroup of G for somei ∈ I and $H$ contains exactly one Hall σi-subgroup of G for every i such that $σ i ∩ π (G) ≠ φ$ . In this paper, we study the structure of G under the assuming that some subgroups of G permutes with all members of $H$ .

Key words： Finite group Hall subgroup complete Hall σ-set permutable subgroup supersoluble group

收稿日期: 2016-12-27 出版日期: 2017-09-30

Corresponding Author(s): Nanying YANG

引用本文:

. [J]. Frontiers of Mathematics in China, 2017, 12(5): 1265-1275.
Xia YIN, Nanying YANG. Finite groups with permutable Hall subgroups. Front. Math. China, 2017, 12(5): 1265-1275.

链接本文:

https://academic.hep.com.cn/fmc/CN/10.1007/s11464-017-0641-4
https://academic.hep.com.cn/fmc/CN/Y2017/V12/I5/1265

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