000124032 001__ 124032 000124032 005__ 20241125101130.0 000124032 0247_ $$2doi$$a10.1007/s00025-022-01806-1 000124032 0248_ $$2sideral$$a132633 000124032 037__ $$aART-2023-132633 000124032 041__ $$aeng 000124032 100__ $$aBallester-Bolinches, Adolfo 000124032 245__ $$aBounds on the Number of Maximal Subgroups of Finite Groups 000124032 260__ $$c2023 000124032 5060_ $$aAccess copy available to the general public$$fUnrestricted 000124032 5203_ $$aIn 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. 000124032 536__ $$9info:eu-repo/grantAgreement/ES/DGA/E22-20R$$9info:eu-repo/grantAgreement/ES/MCINN-AEI/PGC2018-095140-B-I00 000124032 540__ $$9info:eu-repo/semantics/openAccess$$aby$$uhttp://creativecommons.org/licenses/by/3.0/es/ 000124032 590__ $$a1.1$$b2023 000124032 592__ $$a0.618$$b2023 000124032 591__ $$aMATHEMATICS$$b98 / 490 = 0.2$$c2023$$dQ1$$eT1 000124032 593__ $$aMathematics (miscellaneous)$$c2023$$dQ2 000124032 591__ $$aMATHEMATICS, APPLIED$$b163 / 332 = 0.491$$c2023$$dQ2$$eT2 000124032 593__ $$aApplied Mathematics$$c2023$$dQ2 000124032 594__ $$a1.9$$b2023 000124032 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion 000124032 700__ $$aEsteban-Romero, Ramón 000124032 700__ $$0(orcid)0000-0003-4809-1784$$aJiménez-Seral, Paz$$uUniversidad de Zaragoza 000124032 7102_ $$12006$$2005$$aUniversidad de Zaragoza$$bDpto. Matemáticas$$cÁrea Algebra 000124032 773__ $$g78, 1 (2023), 35 [17 pp.]$$pResults in Mathematics$$tResults in Mathematics$$x1422-6383 000124032 8564_ $$s383094$$uhttps://zaguan.unizar.es/record/124032/files/texto_completo.pdf$$yVersión publicada 000124032 8564_ $$s1023719$$uhttps://zaguan.unizar.es/record/124032/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada 000124032 909CO $$ooai:zaguan.unizar.es:124032$$particulos$$pdriver 000124032 951__ $$a2024-11-22-11:58:40 000124032 980__ $$aARTICLE