117981 20240319081008.0 doi 10.3390/math10071153 sideral 129198 ART-2022-129198 eng Ballester-Bolinches, A. Bounds on the number of maximal subgroups of finite groups: applications 2022 Access copy available to the general public Unrestricted 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. info:eu-repo/grantAgreement/ES/DGA/E22-20R info:eu-repo/grantAgreement/ES/MCIU-AEI/PGC2018-095140-B-I00 info:eu-repo/semantics/openAccess by http://creativecommons.org/licenses/by/3.0/es/ 2.4 2022 MATHEMATICS 23 / 329 = 0.07 2022 Q1 T1 0.446 2022 Computer Science (miscellaneous) 2022 Q2 Mathematics (miscellaneous) 2022 Q2 Engineering (miscellaneous) 2022 Q2 3.5 2022 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Esteban-Romero, R. Jiménez Seral, P. Universidad de Zaragoza (orcid)0000-0003-4809-1784 2006 005 Universidad de Zaragoza Dpto. Matemáticas Área Algebra 10, 7 (2022), 1153 [25 pp.] Mathematics (Basel) Mathematics 2227-7390 412125 http://zaguan.unizar.es/record/117981/files/texto_completo.pdf Versión publicada 2427885 http://zaguan.unizar.es/record/117981/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:117981 articulos driver 2024-03-18-14:53:46 ARTICLE