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arXiv · 2203.05597

Bounds on the number of maximal subgroups of finite groups

A. Ballester-Bolinches·R. Esteban-Romero·P. Jiménez-Seral
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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.

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A. Ballester-Bolinches, R. Esteban-Romero, P. Jiménez-Seral. 2022-03-10. Bounds on the number of maximal subgroups of finite groups. https://doi.org/10.1007/s00025-022-01806-1

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