4.2 Article

On sylowizers in finite groups proposed by Wolfgang Gaschutz

期刊

ARCHIV DER MATHEMATIK
卷 116, 期 3, 页码 251-259

出版社

SPRINGER BASEL AG
DOI: 10.1007/s00013-020-01553-1

关键词

Sylowizer; p-supersolvability; p-nilpotency; Conjugation

资金

  1. NSFC [12001436, 11871058]
  2. Chunhui Plan Cooperative Scientific Research Project of Ministry of Education of the People's Republic of China
  3. Fundamental Research Funds of China West Normal University [17E091, 18B032]

向作者/读者索取更多资源

This paper mainly investigates the conjugation of the Sylowizer introduced by Gaschutz and studies the p-supersolvability of finite groups by analyzing the intersection between O-p(G) and Sylowizers of p-subgroups. It also provides characterizations on p-nilpotent groups by using the permutability of a Sylowizer of a p-subgroup, as a continuation of previous research.
In this paper, we mainly investigate the conjugation of the sylowizer that was introduced by Gaschutz (Math Z 122(4):319-320, 1971) and study the p-supersolvability of finite groups by analyzing the intersection between O-p(G) and sylowizers of p-subgroups. As a continuation of research (Lei and Li in Arch Math (Basel) 114:367-376, 2020), we also give some characterizations on p-nilpotent groups by using the permutability of a sylowizer of a p-subgroup.

作者

我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。

评论

主要评分

4.2
评分不足

次要评分

新颖性
-
重要性
-
科学严谨性
-
评价这篇论文

推荐

暂无数据
暂无数据