Author/Authors :
لوكيني، آندريا نويسنده Dipartimento di Matematica, Universita degli studi di Padova, Via Trieste 63, 35121 Padova, Italy Lucchini, Andrea , سرگين، دونگ هوانگ نويسنده Mathematisch Instituut, Leiden Universiteit, Niels Bohrweg 1, 2333 CA Leiden, The Netherlands Dung, Duong Hoang
Abstract :
We discuss whether finiteness properties of a profinite group G can be deduced from the
coeffcients 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.
