Bounds on the number of maximal subgroups of finite groups
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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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Ballester Bolinches, Adolfo Esteban Romero, Ramón Jiménez Seral, Paz 2023 Bounds on the number of maximal subgroups of finite groups Results In Mathematics 78 35 17 pp
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