@article{f9f72974d0ff4f929f1dc1f5c7e74f7e,
title = "Rationality of the probabilistic zeta functions of finitely generated profinite groups",
abstract = "We prove that if the probabilistic zeta function PG(s) of a finitely generated profinite group G is rational and all but finitely many nonabelian composition factors of G are groups of Lie type in a fixed characteristic or sporadic simple groups, then G contains only finitely many maximal subgroups.",
author = "Dung, {Duong Hoang} and Andrea Lucchini",
note = "Funding Information: Research partially supported by MIUR-Italy via PRIN “Group theory and applications”. Copyright: Copyright 2014 Elsevier B.V., All rights reserved.",
year = "2014",
month = mar,
day = "1",
doi = "10.1515/jgt-2013-0037",
language = "English",
volume = "17",
pages = "317--335",
journal = "Journal of Group Theory",
issn = "1433-5883",
publisher = "Walter de Gruyter GmbH & Co. KG",
number = "2",
}