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Finite groups in which the sylowizers of each non-trivial primary subgroups are conjugate
Bulletin des Sciences Mathématiques ( IF 1.3 ) Pub Date : 2020-06-01 , DOI: 10.1016/j.bulsci.2020.102876 Donglin Lei , Xianhua Li
中文翻译:
每个非平凡的主要子组的词缀是共轭的有限组
更新日期:2020-06-01
Bulletin des Sciences Mathématiques ( IF 1.3 ) Pub Date : 2020-06-01 , DOI: 10.1016/j.bulsci.2020.102876 Donglin Lei , Xianhua Li
A subgroup S of a group G is called a p-sylowizer of a p-subgroup R in G if S is maximal in G with respect to having R as its Sylow p-subgroup. In this paper, we investigate the structure of the group G in which the sylowizers of each non-trivial primary subgroups in G are conjugate and give the non-solvable chief factors of G.
中文翻译:
每个非平凡的主要子组的词缀是共轭的有限组
一个分组小号一组ģ被称为p a的-sylowizer p -subgroup ř在ģ如果小号是最大在ģ相对于具有- [R作为它的西洛p -subgroup。在本文中,我们研究组的结构ģ,其中在每个非平凡初级子组的sylowizers ģ是缀合物和给的非可解主要因素ģ。