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The number of maximal subgroups and probabilistic generation of finite groups

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The number of maximal subgroups and probabilistic generation of finite groups

dc.contributor.author	Ballester-Bolinches, Adolfo
dc.contributor.author	Esteban Romero, Ramón
dc.contributor.author	Jiménez Seral, Paz
dc.contributor.author	Meng, Hangyang
dc.date.accessioned	2023-03-23T08:47:01Z
dc.date.available	2023-03-23T08:47:01Z
dc.date.issued	2020
dc.identifier.citation	Ballester Bolinches, Adolfo Esteban Romero, Ramón Jiménez Seral, Paz Meng, Hangyang 2020 The number of maximal subgroups and probabilistic generation of finite groups International Journal of Group Theory 9 1 31 42
dc.identifier.uri	https://hdl.handle.net/10550/85861
dc.description.abstract	In 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.
dc.language.iso	eng
dc.relation.ispartof	International Journal of Group Theory, 2020, vol. 9, num. 1, p. 31-42
dc.subject	Probabilitats
dc.subject	Anàlisi matemàtica
dc.title	The number of maximal subgroups and probabilistic generation of finite groups
dc.type	journal article	es_ES
dc.date.updated	2023-03-23T08:47:01Z
dc.identifier.doi	10.22108/ijgt.2019.114469.1521
dc.identifier.idgrec	129900
dc.rights.accessRights	open access	es_ES