有限可解群中prefrattini子群的交集

IF 0.7 Q2 MATHEMATICS

International Journal of Group Theory Pub Date : 2017-06-01 DOI:10.22108/IJGT.2017.11163

S. Kamornikov

引用次数: 5

摘要

设$H$是可溶有限群$G$的prefrattini子群。本文证明了G$中存在元素$x,y，使得等式$H cap H^x cap H^y = φ (G)$成立。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Intersections of prefrattini subgroups in finite soluble groups

‎Let $H$ be a prefrattini subgroup of a soluble finite group $G$‎. ‎In the‎ ‎paper it is proved that there exist elements $x,y in G$ such that the equality‎ ‎$H cap H^x cap H^y = Phi (G)$ holds‎.

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来源期刊

International Journal of Group Theory MATHEMATICS-

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

30 weeks

期刊介绍： International Journal of Group Theory (IJGT) is an international mathematical journal founded in 2011. IJGT carries original research articles in the field of group theory, a branch of algebra. IJGT aims to reflect the latest developments in group theory and promote international academic exchanges.