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Bounds on the Number of Maximal Subgroups of Finite Groups: Applications.

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Bounds on the Number of Maximal Subgroups of Finite Groups: Applications.

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Ballester-Bolinches, Adolfo; Esteban Romero, Ramón; Jiménez Seral, Paz
Aquest document és un/a article, creat/da en: 2022

The determination of bounds for the number of maximal subgroups of a given index in a finite group is relevant to estimate the number of random elements needed to generate a group with a given probability. In this paper, we obtain new bounds for the number of maximal subgroups of a given index in a finite group and we pin-point the universal constants that appear in some results in the literature related to the number of maximal subgroups of a finite group with a given index. This allows us to compare properly our bounds with some of the known bounds.

    Ballester-Bolinches, Adolfo Esteban Romero, Ramón Jiménez Seral, Paz 2022 Bounds on the Number of Maximal Subgroups of Finite Groups: Applications. Mathematics 10 7 1153

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