Finiteness of Profinite Groups with a Rational Probabilistic Zeta Function

We prove that every profinite group in a certain class with a rational probabilistic zeta function has only finitely many maximal subgroups.

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Bibliographic Details
Published in	Communications in algebra Vol. 44; no. 2; pp. 787 - 795
Main Author	Dung, Duong Hoang
Format	Journal Article
Language	English
Published	Taylor & Francis 01.02.2016
Subjects	Maximal subgroups Primary: 20E18 Probabilistic zeta function Profinite groups Secondary: 20D06, 20P05, 11M41
Online Access	Get full text

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Summary:	We prove that every profinite group in a certain class with a rational probabilistic zeta function has only finitely many maximal subgroups.
ISSN:	0092-7872 1532-4125
DOI:	10.1080/00927872.2014.990023