A Kirillov theory for divisible nilpotent groups.
A.L. Carey, W. Moran, C.E.M. Pearce (1995)
Mathematische Annalen
David Cimasoni, Vladimir Turaev (2006)
Fundamenta Mathematicae
The present paper is a continuation of our previous paper [Topology 44 (2005), 747-767], where we extended the Burau representation to oriented tangles. We now study further properties of this construction.
Margalit, Dan (2002)
Algebraic & Geometric Topology
Paz Jiménez Seral (1993)
Rendiconti del Seminario Matematico della Università di Padova
Rösler, Margit, Voit, Michael (2008)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
Yoon, Sung Yil (2004)
Algebraic & Geometric Topology
Ellis, G. (2002)
Georgian Mathematical Journal
Meintrup, David, Schick, Thomas (2002)
The New York Journal of Mathematics [electronic only]
Greene, Michael, Wiest, Bert (1998)
Geometry & Topology
Bilal Vatansever, David M. Gill, Nuran Eren (2000)
Czechoslovak Mathematical Journal
is the group presented by . In this paper, we study the structure of . We also give a new efficient presentation for the Projective Special Linear group and in particular we prove that is isomorphic to under certain conditions.
Costantino Delizia (1998)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
We prove that if is an integer and is a finitely generated soluble group such that every infinite set of elements of contains a pair which generates a nilpotent subgroup of class at most , then is an extension of a finite group by a torsion-free -Engel group. As a corollary, there exists an integer , depending only on and the derived length of , such that is finite. For , such depends only on .
Makarenko, N.Yu. (2005)
Sibirskij Matematicheskij Zhurnal
J. Siekmann, P. Szabó (1982)
Semigroup forum
James Wiegold (1987)
Rendiconti del Seminario Matematico della Università di Padova
Kapovich, Ilya (1995)
The New York Journal of Mathematics [electronic only]
Ian Stewart (1973)
Compositio Mathematica
N.B. Bozovic (1979)
Publications de l'Institut Mathématique [Elektronische Ressource]
Athanasios Papistas (1989)
Δελτίο της Ελληνικής Μαθηματικής Εταιρίας
Howard Smith (1983)
Mathematische Zeitschrift
M. Kuzucuoğlu (1993)
Rendiconti del Seminario Matematico della Università di Padova