A subnormal subgroup X of G has the following property: there exists a Dirichlet polynomial Q(s) with integer coefficients such that, for each t ∈ N, Q(t) is the conditional probability that t random elements generate G given that they generate G together with the elements of X. In this paper we analyze how far can a subgroup X be with this property from being a subnormal subgroup.
A probabilistic generalization of subnormality
LUCCHINI, ANDREA;
2005
Abstract
A subnormal subgroup X of G has the following property: there exists a Dirichlet polynomial Q(s) with integer coefficients such that, for each t ∈ N, Q(t) is the conditional probability that t random elements generate G given that they generate G together with the elements of X. In this paper we analyze how far can a subgroup X be with this property from being a subnormal subgroup.File in questo prodotto:
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