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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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...
C. Watkiss (1976)
Publications du Département de mathématiques (Lyon)
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J. Janas (1982)
Colloquium Mathematicae
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Srinivasan, S. (1987)
International Journal of Mathematics and Mathematical Sciences
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S. Ilić (1986)
Matematički Vesnik
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Ernest Płonka (1977)
Fundamenta Mathematicae
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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.
Ernest Płonka (1974)
Colloquium Mathematicae
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Fujiwara, Hidenori (1997)
Journal of Lie Theory
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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.
Vander Meulen, Kevin N., Van Tuyl, Adam (2009)
ELA. The Electronic Journal of Linear Algebra [electronic only]
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Đoković, Dragomir Ž. (2000)
Journal of Lie Theory
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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.