3 papers
math.GR2013
A finiteness condition on the coefficients of the probabilistic zeta function
Duong Hoang Dung, Andrea Lucchini
We discuss whether finiteness properties of a profinite group can be deduced from the coefficients of the probabilistic zeta function . In particular we prove that if $…
math.GR2012
Direct products of finite groups as unions of proper subgroups
Andrea Lucchini, Martino Garonzi
We determine all the ways in which a direct product of two finite groups can be expressed as the set-theoretical union of proper subgroups in a family of minimal cardinality.
math.GR2011
Characterization of finitely generated infinitely iterated wreath products
Eloisa Detomi, Andrea Lucchini
Given a sequence of of finite transitive groups of degree , let be the inverse limit of the iterated permutational wreath products of the first m…