Journal of East China Normal University(Natural Science) >

2019 , Vol. 2019 >Issue 2: 63 - 68

DOI: https://doi.org/10.3969/j.issn.1000-5641.2019.02.007

Mathematics

Localized theorems of finite groups with Mp-supplemented subgroups

  • BAO Hong-wei ,
  • LI Feng-qing ,
  • ZHANG Jia ,
  • TANG Ju-ping
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  • 1. Faculty of Science, Bengbu University, Bengbu Anhui 233030, China;
    2. Sichuan Vocational and Technical College, Suining Sichuan 629000, China;
    3. School of Mathematics and Information, China West Normal University, Nanchong Sichuan 637009, China;
    4. Wuxi Institute of Technology, Wuxi Jiangsu 214121, China

Received date: 2018-02-02

  Online published: 2019-03-27

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Abstract

A subgroup H of G is Mp-supplemented in G, if there exists a subgroup B of G such that G=HB and TB < G for every maximal subgroup T of H with|H:T|=pα. Based on the idea of localization, by using the Mp-supplemented properties of some primary subgroups to study the structure of finite groups, we obtained sufficient conditions for p-nilpotent and p-supersolvable groups.

Key words： Mp-supplemented subgroup; Sylow subgroup; finite group

Cite this article

BAO Hong-wei , LI Feng-qing , ZHANG Jia , TANG Ju-ping . Localized theorems of finite groups with Mp-supplemented subgroups[J]. Journal of East China Normal University(Natural Science), 2019 , 2019(2) : 63 -68 . DOI: 10.3969/j.issn.1000-5641.2019.02.007

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