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- Title
Bounds on the Number of Maximal Subgroups of Finite Groups.
- Authors
Ballester-Bolinches, Adolfo; Esteban-Romero, Ramón; Jiménez-Seral, Paz
- 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.
- Subjects
MAXIMAL subgroups; FINITE groups; FC-groups; GROUP theory; BURNSIDE problem; PRODUCTS of subgroups
- Publication
Results in Mathematics / Resultate der Mathematik, 2023, Vol 78, Issue 1, p1
- ISSN
1422-6383
- Publication type
Article
- DOI
10.1007/s00025-022-01806-1