Geodesic
Nil series from arbitrary functions in group theory
Commentationes Mathematicae Universitatis Carolinae, Tome 59 (2018) no. 1, pp. 1-13 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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.
DOI : 10.14712/1213-7243.2015.240
Classification : 20D99
Keywords: finite group; nilpotent; arbitrary functions; nil-series; distributor 
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Hawthorn, Ian. Nil series from arbitrary functions in group theory. Commentationes Mathematicae Universitatis Carolinae, Tome 59 (2018) no. 1, pp. 1-13. doi: 10.14712/1213-7243.2015.240

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