Andrea Appel

Fiorenza Morini

a) Theory of nearrings. Study of specific classes of nearrings: for example Orthodox nearrings, A-rigid nearrings and weakly divisible nearrings. Such nearrings have provided a starting point for further study aimed at geometric-combinatorial structures (for example in building designs and codes from weakly divisible nearrings).
b) Theory of groups. Asymptotic problems and probabilistic methods.
Topic of research is to study the function P_G (t) that expresses the probability that t elements taken at random from a group G generate the same group. The function P_G can be expressed as Dirichlet series, and then extended by interpolation to a complex-valued function, the inverse of that function is called probabilistic zeta function of the group G.

Publications of Fiorenza Morini - Scopus author profile