On symmetric words in nilpotent groups.

S. Krstic

Displaying similar documents to “On symmetric words in nilpotent groups.”

Symmetric words in nilpotent groups of class ≤ 3

Ernest Płonka (1977)

Fundamenta Mathematicae

Similarity:

On Dye's condition in nilpotent groups of class 2

Ernest Płonka (1974)

Colloquium Mathematicae

Similarity:

Nil series from arbitrary functions in group theory

Ian Hawthorn (2018)

Commentationes Mathematicae Universitatis Carolinae

Similarity:

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.

On symmetry of group algebras of discrete nilpotent groups

A. Hulanicki (1970)

Studia Mathematica

Similarity:

Some remarks on almost finitely generated nilpotent groups.

Peter Hilton, Robert Militello (1992)

Publicacions Matemàtiques

Similarity:

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...