Bounds on the Number of Maximal Subgroups of Finite Groups

被引：0
作者：
Adolfo Ballester-Bolinches
Ramón Esteban-Romero
Paz Jiménez-Seral
机构：
[1] Guangdong University of Education,Department of Mathematics
[2] Universitat de València,Departament de Matemàtiques
[3] Universidad de Zaragoza,Departamento de Matemáticas
来源：
Results in Mathematics | 2023年 / 78卷
关键词：
Finite group; maximal subgroup; probabilistic generation; primitive group; 20P05; 20E07; 20E28;
D O I：
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中图分类号：
学科分类号：
摘要：
In this paper we obtain significant bounds for the number of maximal subgroups of a given index of a finite group. These results allow us to give new bounds for the number of random generators needed to generate a finite d-generated group with high probability.
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