A finiteness condition on the coefficients of the probabilistic zeta function

We discuss whether finiteness properties of a profinite group $G$ can be deduced from the coefficients of the probabilisticzeta function $P_G(s)$. In particular we prove that if $P_G(s)$ is rational and all but finitely many non abelian composition factors of $G$ are isomorphic to $PSL(2,p)$ for som...

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Bibliographic Details
Main Authors: Hoang Dung Duong, Andrea Lucchini
Format: Article
Language:English
Published: University of Isfahan 2013-03-01
Series:International Journal of Group Theory
Subjects:
Online Access:http://www.theoryofgroups.ir/?_action=showPDF&article=2760&_ob=6ca06204ff8803a9692e43ba9bbb64d6&fileName=full_text.pdf.