Computer search for nilpotent complexes.
Lewis, Robert H., Moore, Guy D. (1997)
Experimental Mathematics
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Lewis, Robert H., Moore, Guy D. (1997)
Experimental Mathematics
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Đoković, Dragomir Ž. (2000)
Journal of Lie Theory
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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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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...
S. Ilić (1986)
Matematički Vesnik
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Matthias Kawski (1988)
Journal für die reine und angewandte Mathematik
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Srinivasan, S. (1987)
International Journal of Mathematics and Mathematical Sciences
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Ernest Płonka (1974)
Colloquium Mathematicae
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Mihai Sabac (1996)
Collectanea Mathematica
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In what follows we shall describe, in terms of some commutation properties, a method which gives nilpotent elements. Using this method we shall describe the irreducibility for Lie algebras which have Levi-Malçev decomposition property.
Irene Llerena (1984/85)
Mathematische Zeitschrift
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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...
Wenhua Zhao (2008)
Annales Polonici Mathematici
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In the recent work [BE1], [Me], [Burgers] and [HNP], the well-known Jacobian conjecture ([BCW], [E]) has been reduced to a problem on HN (Hessian nilpotent) polynomials (the polynomials whose Hessian matrix is nilpotent) and their (deformed) inversion pairs. In this paper, we prove several results on HN polynomials, their (deformed) inversion pairs as well as on the associated symmetric polynomial or formal maps. We also propose some open problems for further study.