Bounds on the number of maximal subgroups of finite groups: applications

Ballester-Bolinches, A. ; Esteban-Romero, R. ; Jiménez Seral, P. (Universidad de Zaragoza)

Resumen: 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.

Idioma: Inglés

DOI: 10.3390/math10071153

Año: 2022

Publicado en: Mathematics 10, 7 (2022), 1153 [25 pp.]
ISSN: 2227-7390

Factor impacto JCR: 2.4 (2022)

Categ. JCR: MATHEMATICS rank: 23 / 329 = 0.07 (2022) - Q1 - T1

Factor impacto CITESCORE: 3.5 - Engineering (Q2) - Mathematics (Q1) - Computer Science (Q2)

Factor impacto SCIMAGO: 0.446 - Computer Science (miscellaneous) (Q2) - Mathematics (miscellaneous) (Q2) - Engineering (miscellaneous) (Q2)

Financiación: info:eu-repo/grantAgreement/ES/DGA/E22-20R
Financiación: info:eu-repo/grantAgreement/ES/MCIU-AEI/PGC2018-095140-B-I00

Tipo y forma: Article (Published version)

Área (Departamento): Área Algebra (Dpto. Matemáticas)