Finite groups of rotations. A supplement to the preceding article.
Abels, Herbert (1999)
Journal of Lie Theory
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Displaying similar documents to “Discrete groups and thin sets.”
Finite groups of rotations. A supplement to the preceding article.
Some remarks on non-discrete Möbius groups.
Beardon, A.F. (1996)
Annales Academiae Scientiarum Fennicae. Series A I. Mathematica
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Transformation groups with no equicontinuous minimal set
Jason Gait (1972)
Compositio Mathematica
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Discrete Plane Symmetry Groups
Ana Kozomara (1999)
Visual Mathematics
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Equidecomposability of Polyhedra with Reference to Crystallographic Groups.
C. ` Müller (1988)
Discrete & computational geometry
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Maintaining the Minimal Distance of a Point Set in Poly-logarithmic Time.
M. Smid (1992)
Discrete & computational geometry
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A survey of minimal sets
Walter H. Gottschalk (1964)
Annales de l'institut Fourier
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A note on generic subsets of definable groups
Mário J. Edmundo, G. Terzo (2011)
Fundamenta Mathematicae
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We generalize the theory of generic subsets of definably compact definable groups to arbitrary o-minimal structures. This theory is a crucial part of the solution to Pillay's conjecture connecting definably compact definable groups with Lie groups.
Counting crystallographic groups in low dimensions.
Plesken, Wilhelm, Schulz, Tilman (2000)
Experimental Mathematics
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Minimal sets of generalized dynamical systems
Basilio Messano, Antonio Zitarosa (1989)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti
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We introduce generalized dynamical systems (including both dynamical systems and discrete dynamical systems) and give the notion of minimal set of a generalized dynamical system. Then we prove a generalization of the classical G.D. Birkhoff theorem about minimal sets of a dynamical system and some propositions about generalized discrete dynamical systems.
Minimal sets of generalized dynamical systems
Basilio Messano, Antonio Zitarosa (1989)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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We introduce generalized dynamical systems (including both dynamical systems and discrete dynamical systems) and give the notion of minimal set of a generalized dynamical system. Then we prove a generalization of the classical G.D. Birkhoff theorem about minimal sets of a dynamical system and some propositions about generalized discrete dynamical systems.
Duels with possibly asymmetric goals
M. Fox (1980)
Applicationes Mathematicae
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Full groups, flip conjugacy, and orbit equivalence of Cantor minimal systems
S. Bezuglyi, K. Medynets (2008)
Colloquium Mathematicae
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We consider the full group [φ] and topological full group [[φ]] of a Cantor minimal system (X,φ). We prove that the commutator subgroups D([φ]) and D([[φ]]) are simple and show that the groups D([φ]) and D([[φ]]) completely determine the class of orbit equivalence and flip conjugacy of φ, respectively. These results improve the classification found in [GPS]. As a corollary of the technique used, we establish the fact that φ can be written as a product of three involutions from [φ]. ...