000089268 001__ 89268
000089268 005__ 20230914083250.0
000089268 0247_ $$2doi$$a10.22108/ijgt.2019.114469.1521
000089268 0248_ $$2sideral$$a117524
000089268 037__ $$aART-2020-117524
000089268 041__ $$aeng
000089268 100__ $$aBallester-Bolinches, Adolfo
000089268 245__ $$aThe number of maximal subgroups and probabilistic generation of finite groups
000089268 260__ $$c2020
000089268 5060_ $$aAccess copy available to the general public$$fUnrestricted
000089268 5203_ $$aIn this survey we present some significant bounds for the number of maximal subgroups of a given index of a finite group. As a consequence, new bounds for the number of random generators needed to generate a finite d-generated group with high probability which are significantly tighter than the ones obtained in the paper of Jaikin-Zapirain and Pyber (Random generation of finite and profinite groups and group enumeration, Ann. Math., 183 (2011) 769-814) are obtained. The results of Jaikin-Zapirain and Pyber, as well as other results of Lubotzky, Detomi, and Lucchini, appear as particular cases of our theorems.
000089268 536__ $$9info:eu-repo/grantAgreement/ES/MINECO/MTM2014-54707-C3-1-P
000089268 540__ $$9info:eu-repo/semantics/openAccess$$aby$$uhttp://creativecommons.org/licenses/by/3.0/es/
000089268 592__ $$a0.383$$b2020
000089268 593__ $$aAlgebra and Number Theory$$c2020$$dQ3
000089268 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion
000089268 700__ $$aEsteban-Romero, Ramón
000089268 700__ $$0(orcid)0000-0003-4809-1784$$aJimenez-Seral, Paz$$uUniversidad de Zaragoza
000089268 700__ $$aMeng, Hangyang
000089268 7102_ $$12006$$2005$$aUniversidad de Zaragoza$$bDpto. Matemáticas$$cÁrea Algebra
000089268 773__ $$g9, 1 (2020), 31-42$$tInternational Journal of Group Theory$$x2251-7669
000089268 8564_ $$s233730$$uhttps://zaguan.unizar.es/record/89268/files/texto_completo.pdf$$yVersión publicada
000089268 8564_ $$s40991$$uhttps://zaguan.unizar.es/record/89268/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada
000089268 909CO $$ooai:zaguan.unizar.es:89268$$particulos$$pdriver
000089268 951__ $$a2023-09-13-10:50:56
000089268 980__ $$aARTICLE