Symmetric words in nilpotent groups of class ≤ 3
Ernest Płonka (1977)
Fundamenta Mathematicae
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Displaying similar documents to “On symmetry of group algebras of discrete nilpotent groups”
Symmetric words in nilpotent groups of class ≤ 3
On topologically nilpotent algebras
J. Miziołek, T. Müldner, A. Rek (1972)
Studia Mathematica
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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.
On symmetric words in nilpotent groups.
S. Krstic (1980)
Publications de l'Institut Mathématique [Elektronische Ressource]
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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 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...
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.
On nilpotent n-groups
S. Ilić (1986)
Matematički Vesnik
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On Kolchin's theorem.
Israel N. Herstein (1986)
Revista Matemática Iberoamericana
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A well-known theorem due to Kolchin states that a semi-group G of unipotent matrices over a field F can be brought to a triangular form over the field F [4, Theorem H]. Recall that a matrix A is called unipotent if its only eigenvalue is 1, or, equivalently, if the matrix I - A is nilpotent. Many years ago I noticed that this result of Kolchin is an immediate consequence of a too-little known result due to Wedderburn [6]. This result of Wedderburn asserts that if B is a finite...
Adjoint groups and the Mal'cev correspondence (a tale of four functors)
Ian Stewart (1977)
Fundamenta Mathematicae
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Nilpotent blocks and their source algebras.
Lluis Puig (1988)
Inventiones mathematicae
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Pre-derivations and description of non-strongly nilpotent filiform Leibniz algebras
K.K. Abdurasulov, A.Kh. Khudoyberdiyev, M. Ladra, A.M. Sattarov (2021)
Communications in Mathematics
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In this paper we give the description of some non-strongly nilpotent Leibniz algebras. We pay our attention to the subclass of nilpotent Leibniz algebras, which is called filiform. Note that the set of filiform Leibniz algebras of fixed dimension can be decomposed into three disjoint families. We describe the pre-derivations of filiform Leibniz algebras for the first and second families and determine those algebras in the first two classes of filiform Leibniz algebras that are non-strongly...