On the fixed-point set of an automorphism of a closed nonorientable surface
M. Izquierdo (1999)
Disertaciones Matemáticas del Seminario de Matemáticas Fundamentales
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M. Izquierdo (1999)
Disertaciones Matemáticas del Seminario de Matemáticas Fundamentales
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Costantino, F. (2002)
Rendiconti del Seminario Matematico
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Hidalgo, Rubén A., Costa, Anotnio F. (2001)
Annales Academiae Scientiarum Fennicae. Mathematica
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Pierre Arnoux, Valérie Berthé, Arnaud Hilion, Anne Siegel (2006)
Annales de l’institut Fourier
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In this paper, we extend to automorphisms of free groups some results and constructions that classically hold for morphisms of the free monoid, i.e., the so-called substitutions. A geometric representation of the attractive lamination of a class of automorphisms of the free group (irreducible with irreducible powers () automorphisms) is given in the case where the dilation coefficient of the automorphism is a unit Pisot number. The shift map associated with the attractive symbolic lamination...
Peter Turbek (1997)
Revista Matemática de la Universidad Complutense de Madrid
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The full automorphism group of the Kulkarni surface is explicitly determined. It is employed to give three defining equations of the Kulkarni surface; each equation exhibits a symmetry of the surface as complex conjugation.
Bachman, David, Derby-Talbot, Ryan; (2006)
Algebraic & Geometric Topology
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Schleimer, Saul (2004)
Geometry & Topology
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Charles Favre, Matteo Ruggiero (2014)
Annales de la faculté des sciences de Toulouse Mathématiques
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We show that a complex normal surface singularity admitting a contracting automorphism is necessarily quasihomogeneous. We also describe the geometry of a compact complex surface arising as the orbit space of such a contracting automorphism.
Adnan Melekoglu (2000)
Revista Matemática Complutense
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Let X be a compact Riemmann surface of genus g > 1. A symmetry T of X is an anticonformal involution. The fixed point set of T is a disjoint union of simple closed curves, each of which is called a mirror of T. If T fixes g +1 mirrors then it is called an M-symmetry and X is called an M-surface. If X admits an automorphism of order g + 1 which cyclically permutes the mirrors of T then we shall call X an M-surface with the M-property. In this paper we investigate those M-surfaces...
Boileau, Michel, Wang, Shicheng (2005)
Algebraic & Geometric Topology
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