On variants of a theorem of Schur.

Hilton, Peter

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Displaying similar documents to “On variants of a theorem of Schur.”

On a theorem of Schur.

Hilton, Peter (2001)

International Journal of Mathematics and Mathematical Sciences

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Localization and cohomology of nilpotent groups

Peter Hilton (1973)

Cahiers de Topologie et Géométrie Différentielle Catégoriques

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On almost finitely generated nilpotent groups.

Hilton, Peter, Militello, Robert (1996)

International Journal of Mathematics and Mathematical Sciences

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On the power-commutative kernel of locally nilpotent groups.

Delizia, Costantino, Nicotera, Chiara (2005)

International Journal of Mathematics and Mathematical Sciences

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Some remarks on almost finitely generated nilpotent groups.

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 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...

P-nilpotent completion is not idempotent.

Geok Choo Tan (1997)

Publicacions Matemàtiques

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Let P be an arbitrary set of primes. The P-nilpotent completion of a group G is defined by the group homomorphism η: G → G where G = inv lim(G/ΓG). Here ΓG is the commutator subgroup [G,G] and ΓG the subgroup [G, ΓG] when i > 2. In this paper, we prove that P-nilpotent completion of an infinitely generated free group F does not induce an isomorphism on the first homology group with Z coefficients. Hence, P-nilpotent completion is not idempotent. Another important consequence of...

On a class of residually finite groups.

Taeri, Buan (2003)

Bulletin of the Malaysian Mathematical Sciences Society. Second Series

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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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Unification for nilpotent groups of class 2.

J.K. Truss, E.K. Burke (1995)

Forum mathematicum

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On Dye's condition in nilpotent groups of class 2

Ernest Płonka (1974)

Colloquium Mathematicae

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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.