A Kirillov theory for divisible nilpotent groups.
A.L. Carey, W. Moran, C.E.M. Pearce (1995)
Mathematische Annalen
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A.L. Carey, W. Moran, C.E.M. Pearce (1995)
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Judith A. Packer (1989)
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Irene Venturi (2009)
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Otera, Daniele Ettore, Russo, Francesco G. (2010)
International Journal of Mathematics and Mathematical Sciences
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Dwyer, W.G. (1998)
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Peter Hilton, Robert Militello (1992)
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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...
Hilton, Peter, Militello, Robert (1996)
International Journal of Mathematics and Mathematical Sciences
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Rolf Brandl, Gabriella Corsi Tani, Luigi Serena (2006)
Rendiconti del Seminario Matematico della Università di Padova
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Ernest Płonka (1974)
Colloquium Mathematicae
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Jesper M. Møller (2007)
Fundamenta Mathematicae
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This is the second part of a paper about the classification of 2-compact groups. In the first part we set up a general classification procedure and applied it to the simple 2-compact groups of the A-family. In this second part we deal with the other simple Lie groups and with the exotic simple 2-compact group DI(4). We show that all simple 2-compact groups are uniquely N-determined and conclude that all connected 2-compact groups are uniquely N-determined. This means that two connected...
J. Ludwig, M.E.B. Bekka (1990)
Mathematische Zeitschrift
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Enrico Le Donne (2017)
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Carnot groups are distinguished spaces that are rich of structure: they are those Lie groups equipped with a path distance that is invariant by left-translations of the group and admit automorphisms that are dilations with respect to the distance. We present the basic theory of Carnot groups together with several remarks.We consider them as special cases of graded groups and as homogeneous metric spaces.We discuss the regularity of isometries in the general case of Carnot-Carathéodory...
Stein, Alexander (1998)
Beiträge zur Algebra und Geometrie
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