Bounds on the Number of Maximal Subgroups of Finite Groups: Applications

Bounds on the Number of Maximal Subgroups of Finite Groups: Applications

The determination of bounds for the number of maximal subgroups of a given index in a finite group is relevant to estimate the number of random elements needed to generate a group with a given probability. In this paper, we obtain new bounds for the number of maximal subgroups of a given index in a...

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Bibliographic Details
Main Authors: Adolfo Ballester-Bolinches, Ramón Esteban-Romero, Paz Jiménez-Seral
Format: Article
Language:English
Published: MDPI AG 2022-04-01
Series:Mathematics
Subjects:
finite group
maximal subgroup
probabilistic generation
primitive group
Online Access:https://www.mdpi.com/2227-7390/10/7/1153

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https://www.mdpi.com/2227-7390/10/7/1153

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