We prove that if the probabilistic zeta function P-G(s) of a finitely generated profinite group G is rational and all but finitely many nonabelian composition factors of G are groups of Lie type in a fixed characteristic or sporadic simple groups, then G contains only finitely many maximal subgroups.
Rationality of the probabilistic zeta functions of finitely generated profinite groups
LUCCHINI, ANDREA
2014
Abstract
We prove that if the probabilistic zeta function P-G(s) of a finitely generated profinite group G is rational and all but finitely many nonabelian composition factors of G are groups of Lie type in a fixed characteristic or sporadic simple groups, then G contains only finitely many maximal subgroups.File in questo prodotto:
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