Ian Hawthorn
Nil series from arbitrary functions in group theory

Comment.Math.Univ.Carolin. 59,1 (2018) 1-13.

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