Some remarks on almost finitely generated nilpotent groups.

Peter Hilton; Robert Militello

Displaying similar documents to “Some remarks on almost finitely generated nilpotent groups.”

On almost finitely generated nilpotent groups.

Hilton, Peter, Militello, Robert (1996)

International Journal of Mathematics and Mathematical Sciences

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On Dye's condition in nilpotent groups of class 2

Ernest Płonka (1974)

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Characterisation of finitely generated soluble finite-by-nilpotent groups

Ali Boukaroura (2004)

Rendiconti del Seminario Matematico della Università di Padova

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Group rings with FC-nilpotent unit groups.

Vikas Bist (1991)

Publicacions Matemàtiques

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Let U(RG) be the unit group of the group ring RG. Groups G such that U(RG) is FC-nilpotent are determined, where R is the ring of integers Z or a field K of characteristic zero.

Nil series from arbitrary functions in group theory

Ian Hawthorn (2018)

Commentationes Mathematicae Universitatis Carolinae

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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.