Abstract:In an earlier paper distributors were defined as a measure of how close an arbitrary function between groups is to being a homomorphism. Distributors generalize commutators, hence we can use them to try to generalize anything defined in terms of commutators. In this paper we use this to define a generalization of nilpotent groups and explore its basic properties.
Keywords: finite group; nilpotent; arbitrary functions; nil-series; distributor
DOI: DOI 10.14712/1213-7243.2015.240
AMS Subject Classification: 20D99