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.
|Number of pages||8|
|Journal||International Journal of Group Theory|
|Publication status||Published - Jan 1 2013|
All Science Journal Classification (ASJC) codes
- Algebra and Number Theory