The Kegel–Wielandt \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$ \sigma $\end{document}-Problem: Reduction to Simple Groups

被引:0
作者
S. F. Kamornikov [1 ]
V. N. Tyutyanov [2 ]
机构
[1] Francisk Skorina Gomel State University,
[2] MITSO International University,undefined
关键词
finite group; simple group; Kegel–Wielandt ; -problem; -subnormal subgroup; Hall subgroup; 512.542;
D O I
10.1134/S0037446625010057
中图分类号
学科分类号
摘要
We reduce the solution of the Kegel–Wielandt \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$ \sigma $\end{document}-problem for an arbitrary partition \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$ \sigma $\end{document} of the set of all primes to its solution in the class of all \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$ \sigma $\end{document}-complete simple nonabelian groups. We also give a sufficient criterion for the \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$ \sigma $\end{document}-subnormality of a subgroup in a finite group for a partition \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$ \sigma $\end{document} in which 2 and 3 belong to the same component.
引用
收藏
页码:31 / 39
页数:8
相关论文
empty
未找到相关数据