Groups Of Automorphisms Of Compact Riemann And Klein Surfaces

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Automorphism Groups of Compact Bordered Klein Surfaces

Author : Emilio Bujalance,Jose J. Etayo,Jose M. Gamboa,Grzegorz Gromadzki
Publisher : Springer
Page : 214 pages
File Size : 42,5 Mb
Release : 2006-11-14
Category : Mathematics
ISBN : 9783540471806

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Automorphism Groups of Compact Bordered Klein Surfaces by Emilio Bujalance,Jose J. Etayo,Jose M. Gamboa,Grzegorz Gromadzki Pdf

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

Author : Milagros Izquierdo, S. Allen Broughton, Antonio F. Costa,Rubí E. Rodríguez
Publisher : American Mathematical Soc.
Page : 362 pages
File Size : 46,5 Mb
Release : 2014-11-21
Category : Mathematics
ISBN : 9781470410933

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Riemann and Klein Surfaces, Automorphisms, Symmetries and Moduli Spaces by Milagros Izquierdo, S. Allen Broughton, Antonio F. Costa,Rubí E. Rodríguez Pdf

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.

Automorphism Groups of Compact Bordered Klein Surfaces

Author : Emilio Bujalance,Jose J Etayo,Jose M Gamboa
Publisher : Springer
Page : 228 pages
File Size : 51,8 Mb
Release : 2014-01-15
Category : Electronic
ISBN : 3662213451

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Automorphism Groups of Compact Bordered Klein Surfaces by Emilio Bujalance,Jose J Etayo,Jose M Gamboa Pdf

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.

Characters and Automorphism Groups of Compact Riemann Surfaces

Author : Thomas Breuer
Publisher : Cambridge University Press
Page : 216 pages
File Size : 52,5 Mb
Release : 2000-09-21
Category : Mathematics
ISBN : 0521798094

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Characters and Automorphism Groups of Compact Riemann Surfaces by Thomas Breuer Pdf

Addresses a topic from classical analysis using modern algebraic and computational tools. For graduates and researchers.

Automorphisms of Riemann Surfaces, Subgroups of Mapping Class Groups and Related Topics

Author : Aaron Wootton,S. Allen Broughton,Jennifer Paulhus
Publisher : American Mathematical Society
Page : 366 pages
File Size : 45,5 Mb
Release : 2022-02-03
Category : Mathematics
ISBN : 9781470460259

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Automorphisms of Riemann Surfaces, Subgroups of Mapping Class Groups and Related Topics by Aaron Wootton,S. Allen Broughton,Jennifer Paulhus Pdf

Automorphism groups of Riemann surfaces have been widely studied for almost 150 years. This area has persisted in part because it has close ties to many other topics of interest such as number theory, graph theory, mapping class groups, and geometric and computational group theory. In recent years there has been a major revival in this area due in part to great advances in computer algebra systems and progress in finite group theory. This volume provides a concise but thorough introduction for newcomers to the area while at the same time highlighting new developments for established researchers. The volume starts with two expository articles. The first of these articles gives a historical perspective of the field with an emphasis on highly symmetric surfaces, such as Hurwitz surfaces. The second expository article focuses on the future of the field, outlining some of the more popular topics in recent years and providing 78 open research problems across all topics. The remaining articles showcase new developments in the area and have specifically been chosen to cover a variety of topics to illustrate the range of diversity within the field.

Symmetries of Compact Riemann Surfaces

Author : Emilio Bujalance,Francisco Javier Cirre,José Manuel Gamboa,Grzegorz Gromadzki
Publisher : Springer
Page : 164 pages
File Size : 51,6 Mb
Release : 2010-09-29
Category : Mathematics
ISBN : 9783642148286

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Symmetries of Compact Riemann Surfaces by Emilio Bujalance,Francisco Javier Cirre,José Manuel Gamboa,Grzegorz Gromadzki Pdf

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.

Geometry at the Frontier: Symmetries and Moduli Spaces of Algebraic Varieties

Author : Paola Comparin,Eduardo Esteves,Herbert Lange,Sebastián Reyes-Carocca,Rubí E. Rodríguez
Publisher : American Mathematical Soc.
Page : 282 pages
File Size : 46,8 Mb
Release : 2021-04-23
Category : Education
ISBN : 9781470453275

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Geometry at the Frontier: Symmetries and Moduli Spaces of Algebraic Varieties by Paola Comparin,Eduardo Esteves,Herbert Lange,Sebastián Reyes-Carocca,Rubí E. Rodríguez Pdf

Articles in this volume are based on lectures given at three conferences on Geometry at the Frontier, held at the Universidad de la Frontera, Pucón, Chile in 2016, 2017, and 2018. The papers cover recent developments on the theory of algebraic varieties—in particular, of their automorphism groups and moduli spaces. They will be of interest to anyone working in the area, as well as young mathematicians and students interested in complex and algebraic geometry.

Kleinian Groups and Related Topics

Author : D.M. Gallo,R.M. Porter
Publisher : Springer
Page : 126 pages
File Size : 41,9 Mb
Release : 2006-11-15
Category : Mathematics
ISBN : 9783540394266

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Kleinian Groups and Related Topics by D.M. Gallo,R.M. Porter Pdf

Groups St Andrews 1989: Volume 1

Author : C. M. Campbell,E. F. Robertson
Publisher : Cambridge University Press
Page : 268 pages
File Size : 48,8 Mb
Release : 1991-03-21
Category : Mathematics
ISBN : 0521398495

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Groups St Andrews 1989: Volume 1 by C. M. Campbell,E. F. Robertson Pdf

Selected papers presented at the international conference on group theory held at St. Andrews in 1989 are combined in two volumes. The themes of the conference were combinatorial and computational group theory.

Topics in the Theory of Riemann Surfaces

Author : Robert D.M. Accola
Publisher : Springer
Page : 117 pages
File Size : 50,8 Mb
Release : 2006-11-14
Category : Mathematics
ISBN : 9783540490562

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Topics in the Theory of Riemann Surfaces by Robert D.M. Accola Pdf

The book's main concern is automorphisms of Riemann surfaces, giving a foundational treatment from the point of view of Galois coverings, and treating the problem of the largest automorphism group for a Riemann surface of a given genus. In addition, the extent to which fixed points of automorphisms are generalized Weierstrass points is considered. The extremely useful inequality of Castelnuovo- Severi is also treated. While the methods are elementary, much of the material does not appear in the current texts on Riemann surfaces, algebraic curves. The book is accessible to a reader who has had an introductory course on the theory of Riemann surfaces or algebraic curves.

Foundations of the Theory of Klein Surfaces

Author : Norman L. Alling,Newcomb Greenleaf
Publisher : Springer
Page : 127 pages
File Size : 55,5 Mb
Release : 2006-11-15
Category : Mathematics
ISBN : 9783540368854

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Foundations of the Theory of Klein Surfaces by Norman L. Alling,Newcomb Greenleaf Pdf

Groups St Andrews 2001 in Oxford: Volume 1

Author : C. M. Campbell,E. F. Robertson,G. C. Smith
Publisher : Cambridge University Press
Page : 316 pages
File Size : 41,6 Mb
Release : 2003-11-06
Category : Mathematics
ISBN : 1139437216

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Groups St Andrews 2001 in Oxford: Volume 1 by C. M. Campbell,E. F. Robertson,G. C. Smith Pdf

This first volume of the two-volume book contains selected papers from the international conference 'Groups St Andrews 2001 in Oxford' which was held at the University of Oxford in August 2001. Five main lecture courses were given at the conference, and articles based on their lectures form a substantial part of the Proceedings. This volume contains the contributions from Marston Conder (Auckland), Persi Diaconis (Stanford) and Marcus Du Sautoy (Cambridge). The series of Proceedings of Groups St Andrews conferences have provided snapshots of the state of research in group theory throughout the past twenty years. As with earlier volumes, these refereed volumes also contain accessible surveys of contemporary research fronts, as well as a diverse collection of short research articles. They form a valuable reference for researchers, especially graduate students, working in group theory.

Automorphism Groups of Compact Bordered Klein Surfaces

Author : Emilio Bujalance García,Emilio Bujalance
Publisher : Lecture Notes in Mathematics
Page : 228 pages
File Size : 42,8 Mb
Release : 1990-09-12
Category : Mathematics
ISBN : UOM:39015049372231

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Automorphism Groups of Compact Bordered Klein Surfaces by Emilio Bujalance García,Emilio Bujalance Pdf

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.

Groups St Andrews 2013

Author : C. M. Campbell,M. R. Quick,E. F. Robertson,C. M. Roney-Dougal
Publisher : Cambridge University Press
Page : 503 pages
File Size : 47,6 Mb
Release : 2015-10-22
Category : Mathematics
ISBN : 9781107514546

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Groups St Andrews 2013 by C. M. Campbell,M. R. Quick,E. F. Robertson,C. M. Roney-Dougal Pdf

Leading researchers survey the latest developments in group theory and many related areas.