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Bounds on the number of maximal subgroups of finite groups

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arxiv 2203.05597 v1 pith:PQXFQPMI submitted 2022-03-10 math.GR

A. Ballester-Bolinches , R. Esteban-Romero , P. Jiménez-Seral This is my paper
classification math.GR
keywords boundsfinitenumbergroupmaximalsubgroupsallowgenerate
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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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    eess.IV 2025-07 reject novelty 4.0 of 10

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