A unipotent group associated with certain linear groups
F. P. Greenleaf, M. Moskowitz, L. P. Rothschild (1980)
Colloquium Mathematicae
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F. P. Greenleaf, M. Moskowitz, L. P. Rothschild (1980)
Colloquium Mathematicae
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S.G. Dani (1992)
Manuscripta mathematica
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Lee, Dong Hoon (1999)
Journal of Lie Theory
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Winkelmann, Jörg (2001)
Documenta Mathematica
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Karl Hofmann, Sidney Morris, Markus Stroppel (1996)
Colloquium Mathematicae
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In this paper we answer three open problems on varieties of topological groups by invoking Lie group theory. We also reprove in the present context that locally compact groups with arbitrarily small invariant identity neighborhoods can be approximated by Lie groups
Douglas, Roy R. (1996)
Mathematical Physics Electronic Journal [electronic only]
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Đoković, Dragomir Ž., Nguyêñ Quôć Thǎńg (1995)
Journal of Lie Theory
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Janusz Grabowski (1988)
Fundamenta Mathematicae
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Wiesław Kubiś, Sławomir Turek (2011)
Open Mathematics
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We show that every compact connected group is the limit of a continuous inverse sequence, in the category of compact groups, where each successor bonding map is either an epimorphism with finite kernel or the projection from a product by a simple compact Lie group. As an application, we present a proof of an unpublished result of Charles Mills from 1978: every compact group is supercompact.
Wüstner, Michael (1998)
Journal of Lie Theory
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K. STRAMBACH, P. Plaumann (1990)
Forum mathematicum
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Víctor Ayala, Heriberto Román-Flores, Adriano Da Silva (2017)
Open Mathematics
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For a given endomorphism φ on a connected Lie group G this paper studies several subgroups of G that are intrinsically connected with the dynamic behavior of φ.
Yoav Segev (1994)
Mathematische Zeitschrift
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Patrick Ghanaat (1989)
Journal für die reine und angewandte Mathematik
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