Bounds on the Number of Maximal Subgroups of Finite Groups

被引：1

作者：

Ballester-Bolinches, Adolfo ^{[1
,2
]}

Esteban-Romero, Ramon ^{[2
]}

Jimenez-Seral, Paz ^{[3
]}

机构：

[1] Guangdong Univ Educ, Dept Math, Guangzhou 510303, Guangdong, Peoples R China

[2] Univ Valencia, Dept Matemat, Dr Moliner 50, Valencia 46100, Spain

[3] Univ Zaragoza, Dept Matemat, Pedro Cerbuna 12, Zaragoza 50009, Spain

来源：

RESULTS IN MATHEMATICS | 2023年 / 78卷 / 01期

关键词：

Finite group; maximal subgroup; probabilistic generation; primitive group; GENERATORS; CROWNS;

D O I：

10.1007/s00025-022-01806-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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.

引用

页数：17

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