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

Repositori DSpace/Manakin

dc.contributor.author	Ballester-Bolinches, Adolfo
dc.contributor.author	Esteban Romero, Ramón
dc.contributor.author	Jiménez Seral, Paz
dc.date.accessioned	2023-11-15T12:33:29Z
dc.date.available	2023-11-15T12:33:29Z
dc.date.issued	2022
dc.identifier.uri	https://hdl.handle.net/10550/91172
dc.description.abstract	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.
dc.language.iso	eng
dc.relation.ispartof	Mathematics, 2022, vol. 10, num. 7, p. 1153
dc.source	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
dc.subject	Matemàtica
dc.subject	Àlgebra
dc.title	Bounds on the Number of Maximal Subgroups of Finite Groups: Applications.
dc.type	journal article
dc.date.updated	2023-11-15T12:33:32Z
dc.identifier.doi	10.3390/math10071153
dc.identifier.idgrec	158172
dc.rights.accessRights	open access