doi:10.1007/s00025-022-01806-1engBallester-Bolinches, AdolfoEsteban-Romero, RamónJiménez-Seral, PazBounds on the Number of Maximal Subgroups of Finite GroupsART-2023-132633In 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.2023http://zaguan.unizar.es/record/12403210.1007/s00025-022-01806-1http://zaguan.unizar.es/record/124032oai:zaguan.unizar.es:124032info:eu-repo/grantAgreement/ES/DGA/E22-20Rinfo:eu-repo/grantAgreement/ES/MCINN-AEI/PGC2018-095140-B-I00Results in Mathematics 78, 1 (2023), 35 [17 pp.]byhttp://creativecommons.org/licenses/by/3.0/es/info:eu-repo/semantics/openAccess