Bounds on the Number of Maximal Subgroups of Finite Groups

Ballester-Bolinches, Adolfo ; Esteban-Romero, Ramón ; Jiménez-Seral, Paz (Universidad de Zaragoza)

Resumen: 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.

Idioma: Inglés

DOI: 10.1007/s00025-022-01806-1

Año: 2023

Publicado en: Results in Mathematics 78, 1 (2023), 35 [17 pp.]
ISSN: 1422-6383

Factor impacto JCR: 1.1 (2023)

Categ. JCR: MATHEMATICS rank: 98 / 490 = 0.2 (2023) - Q1 - T1
Categ. JCR: MATHEMATICS, APPLIED rank: 163 / 332 = 0.491 (2023) - Q2 - T2

Factor impacto CITESCORE: 1.9 - Mathematics (miscellaneous) (Q2) - Applied Mathematics (Q3)

Factor impacto SCIMAGO: 0.618 - Mathematics (miscellaneous) (Q2) - Applied Mathematics (Q2)

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

Tipo y forma: Article (Published version)

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