On Dye's condition in nilpotent groups of class 2
Ernest Płonka (1974)
Colloquium Mathematicae
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Ernest Płonka (1974)
Colloquium Mathematicae
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Lewis, Robert H., Moore, Guy D. (1997)
Experimental Mathematics
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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.
Peter Hilton, Robert Militello (1992)
Publicacions Matemàtiques
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We identify two generalizations of the notion of a finitely generated nilpotent. Thus a nilpotent group G is fgp if Gp is fg as p-local group for each p; and G is fg-like if there exists a fg nilpotent group H such that Gp ≅ Hp 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...
Srinivasan, S. (1987)
International Journal of Mathematics and Mathematical Sciences
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J.K. Truss, E.K. Burke (1995)
Forum mathematicum
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Ernest Płonka (1977)
Fundamenta Mathematicae
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C. Watkiss (1976)
Publications du Département de mathématiques (Lyon)
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J. Janas (1982)
Colloquium Mathematicae
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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.
Hilton, Peter, Militello, Robert (1996)
International Journal of Mathematics and Mathematical Sciences
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Irene Llerena (1984/85)
Mathematische Zeitschrift
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Luis A. Cordero, Marisa Fernández, Alfred Gray, Luis Ugarte (2001)
RACSAM
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Este artículo presenta un panorama de algunos resultados recientes sobre estructuras complejas nilpotentes J definidas sobre nilvariedades compactas. Tratamos el problema de clasificación de nilvariedades compactas que admiten una tal J, el estudio de un modelo minimal de Dolbeault y su formalidad, y la construcción de estructuras complejas nilpotentes para las cuales la sucesión espectral de Frölicher no colapsa en el segundo término.