Examples of Nonpronormal Relatively Maximal Subgroups of Finite Simple Groups

被引：0
|
作者：
Li, B. [1 ]
Revin, D. O. [2 ,3 ]
机构：
[1] Nantong Univ, Sch Sci, Nantong 226019, Peoples R China
[2] Russian Acad Sci, Siberian Branch, Sobolev Inst Math, Novosibirsk 630090, Russia
[3] Russian Acad Sci, Ural Branch, Krasovskii Inst Math & Mech, Ekaterinburg 620108, Russia
来源：
PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS | 2023年 / 323卷 / SUPPL 1期
基金：
中国国家自然科学基金;
关键词：
complete class of groups; relatively maximal subgroup; pronormal subgroup; finite simple group;
D O I：
10.1134/S0081543823060135
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Using R. Wilson's recent results, we prove the existence of triples (X, G, H) such that X is a complete (i.e., closed under taking subgroups, homomorphic images, and extensions) class of finite groups, G is a finite simple group, and H is its X-maximal subgroup nonpronormal in G. This disproves a conjecture stated earlier by the second author and W. Guo.
引用
收藏
页码：S155 / S159
页数：5
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