Topological Frobenius properties for nilpotent groups.

Eberhard Kaniuth; Mohammed E.B. Bekka

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Topological Frobenius properties for nilpotent groups. II.

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The failure of the topological Frobenius property for nilpotent Lie groups.

Ole A. Nielsen (1979)

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Generalized classes of groups, C-nilpotent spaces and "The Hurewicz theorem".

Daciberg Lima Goncalves (1983)

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On Dye's condition in nilpotent groups of class 2

Ernest Płonka (1974)

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Eigenspace representations of nilpotent lie groups.

Henrik Stetkaer, Jacob Jacobsen (1981)

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Eigenspace representations of nilpotent Lie groups.

Jacob Jacobsen (1983)

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Nil series from arbitrary functions in group theory

Ian Hawthorn (2018)

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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.

Some remarks on almost finitely generated nilpotent groups.

Peter Hilton, Robert Militello (1992)

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We identify two generalizations of the notion of a finitely generated nilpotent. Thus a nilpotent group G is fgp if G_p is fg as p-local group for each p; and G is fg-like if there exists a fg nilpotent group H such that G_p ≅ H_p for all p. The we have proper set-inclusions: {fg} ⊂ {fg-like} ⊂ {fgp}. We examine the extent to which fg-like nilpotent groups satisfy the axioms for...