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 GarcĂ­a

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.


Groups St Andrews 2001 in Oxford: Volume 1

Groups St Andrews 2001 in Oxford: Volume 1

Author: C. M. Campbell

Publisher: Cambridge University Press

Published: 2003-11-06

Total Pages: 316

ISBN-13: 9781139437219

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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.