Affiliation:
1. Università degli Studi di Milano , Dipartimento di Matematica , via C. Saldini 50, I-20133 Milano , Italy ; e-mail: gianluigi.forti@unimi.it;
Abstract
Abstract
Investigating Hyers–Ulam stability of the additive Cauchy equation with domain in a group G, in order to obtain an additive function approximating the given almost additive one we need some properties of G, starting from commutativity to others more sophisticated. The aim of this survey is to present these properties and compare, as far as possible, the classes of groups involved.
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