A finiteness condition on the coefficients of the probabilistic zeta function

Authors

Dung Hoang Duong, Leiden Universiteit, Universita degli studi di PadovaFollow
Andrea Lucchini, Universita degli studi di Padova

RIS ID

129704

Publication Details

Duong, D. Hoang. & Lucchini, A. (2013). A finiteness condition on the coefficients of the probabilistic zeta function. International Journal of Group Theory, 2 (1), 167-174.

Abstract

We discuss whether finiteness properties of a profinite group G can be deduced from the coefficients of the probabilistic‎ ‎zeta function PG(s)‎. ‎In particular we prove that if PG(s) is rational and all but finitely many non abelian composition factors of G are isomorphic to PSL(2,p) for some prime p‎, ‎then G contains only finitely many maximal subgroups‎.