Automorphism Groups of Compact Bordered Klein Surfaces
Automorphism Groups of Compact Bordered Klein Surfaces

Author: Emilio Bujalance

Publisher: Springer

Published: 2006-11-14

Total Pages: 214

ISBN-13: 3540471804

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This research monograph provides a self-contained approach to the problem of determining the conditions under which a compact bordered Klein surface S and a finite group G exist, such that G acts as a group of automorphisms in S. The cases dealt with here take G cyclic, abelian, nilpotent or supersoluble and S hyperelliptic or with connected boundary. No advanced knowledge of group theory or hyperbolic geometry is required and three introductory chapters provide as much background as necessary on non-euclidean crystallographic groups. The graduate reader thus finds here an easy access to current research in this area as well as several new results obtained by means of the same unified approach.

Automorphism Groups of Compact Bordered Klein Surfaces
Automorphism Groups of Compact Bordered Klein Surfaces

Author: Emilio Bujalance

Publisher: Springer

Published: 2014-01-15

Total Pages: 228

ISBN-13: 9783662213452

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This research monograph provides a self-contained approach to the problem of determining the conditions under which a compact bordered Klein surface S and a finite group G exist, such that G acts as a group of automorphisms in S. The cases dealt with here take G cyclic, abelian, nilpotent or supersoluble and S hyperelliptic or with connected boundary. No advanced knowledge of group theory or hyperbolic geometry is required and three introductory chapters provide as much background as necessary on non-euclidean crystallographic groups. The graduate reader thus finds here an easy access to current research in this area as well as several new results obtained by means of the same unified approach.

Automorphism Groups of Compact Bordered Klein Surfaces
Automorphism Groups of Compact Bordered Klein Surfaces

Author: Emilio Bujalance García

Publisher: Lecture Notes in Mathematics

Published: 1990-09-12

Total Pages: 228

ISBN-13:

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This research monograph provides a self-contained approach to the problem of determining the conditions under which a compact bordered Klein surface S and a finite group G exist, such that G acts as a group of automorphisms in S. The cases dealt with here take G cyclic, abelian, nilpotent or supersoluble and S hyperelliptic or with connected boundary. No advanced knowledge of group theory or hyperbolic geometry is required and three introductory chapters provide as much background as necessary on non-euclidean crystallographic groups. The graduate reader thus finds here an easy access to current research in this area as well as several new results obtained by means of the same unified approach.

Riemann and Klein Surfaces, Automorphisms, Symmetries and Moduli Spaces
Riemann and Klein Surfaces, Automorphisms, Symmetries and Moduli Spaces

Author: Milagros Izquierdo

Publisher: American Mathematical Soc.

Published: 2014-11-21

Total Pages: 362

ISBN-13: 1470410931

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This volume contains the proceedings of the conference on Riemann and Klein Surfaces, Symmetries and Moduli Spaces, in honor of Emilio Bujalance, held from June 24-28, 2013, at Linköping University. The conference and this volume are devoted to the mathematics that Emilio Bujalance has worked with in the following areas, all with a computational flavor: Riemann and Klein surfaces, automorphisms of real and complex surfaces, group actions on surfaces and topological properties of moduli spaces of complex curves and Abelian varieties.

Symmetries of Compact Riemann Surfaces
Symmetries of Compact Riemann Surfaces

Author: Emilio Bujalance

Publisher: Springer

Published: 2010-09-29

Total Pages: 181

ISBN-13: 364214828X

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This monograph covers symmetries of compact Riemann surfaces. It examines the number of conjugacy classes of symmetries, the numbers of ovals of symmetries and the symmetry types of Riemann surfaces.