000117981 001__ 117981 000117981 005__ 20240319081008.0 000117981 0247_ $$2doi$$a10.3390/math10071153 000117981 0248_ $$2sideral$$a129198 000117981 037__ $$aART-2022-129198 000117981 041__ $$aeng 000117981 100__ $$aBallester-Bolinches, A. 000117981 245__ $$aBounds on the number of maximal subgroups of finite groups: applications 000117981 260__ $$c2022 000117981 5060_ $$aAccess copy available to the general public$$fUnrestricted 000117981 5203_ $$aThe 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. 000117981 536__ $$9info:eu-repo/grantAgreement/ES/DGA/E22-20R$$9info:eu-repo/grantAgreement/ES/MCIU-AEI/PGC2018-095140-B-I00 000117981 540__ $$9info:eu-repo/semantics/openAccess$$aby$$uhttp://creativecommons.org/licenses/by/3.0/es/ 000117981 590__ $$a2.4$$b2022 000117981 592__ $$a0.446$$b2022 000117981 591__ $$aMATHEMATICS$$b23 / 329 = 0.07$$c2022$$dQ1$$eT1 000117981 593__ $$aComputer Science (miscellaneous)$$c2022$$dQ2 000117981 593__ $$aMathematics (miscellaneous)$$c2022$$dQ2 000117981 593__ $$aEngineering (miscellaneous)$$c2022$$dQ2 000117981 594__ $$a3.5$$b2022 000117981 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion 000117981 700__ $$aEsteban-Romero, R. 000117981 700__ $$0(orcid)0000-0003-4809-1784$$aJiménez Seral, P.$$uUniversidad de Zaragoza 000117981 7102_ $$12006$$2005$$aUniversidad de Zaragoza$$bDpto. Matemáticas$$cÁrea Algebra 000117981 773__ $$g10, 7 (2022), 1153 [25 pp.]$$pMathematics (Basel)$$tMathematics$$x2227-7390 000117981 8564_ $$s412125$$uhttps://zaguan.unizar.es/record/117981/files/texto_completo.pdf$$yVersión publicada 000117981 8564_ $$s2427885$$uhttps://zaguan.unizar.es/record/117981/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada 000117981 909CO $$ooai:zaguan.unizar.es:117981$$particulos$$pdriver 000117981 951__ $$a2024-03-18-14:53:46 000117981 980__ $$aARTICLE