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Bounds on the number of maximal subgroups of finite groups

Authors :
Ballester-Bolinches, A.
Esteban-Romero, R.
Jiménez-Seral, P.
Source :
Results Math., 78:35, 2023
Publication Year :
2022

Abstract

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.<br />Comment: 18 pages

Subjects

Subjects :
Mathematics - Group Theory
20P05, 20E07, 20E28

Details

Database :
arXiv
Journal :
Results Math., 78:35, 2023
Publication Type :
Report
Accession number :
edsarx.2203.05597
Document Type :
Working Paper
Full Text :
https://doi.org/10.1007/s00025-022-01806-1
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