Automorphism Groups of Compact Bordered Klein Surfaces: A Combinatorial Approach: 1439 (Lecture Notes in Mathematics, 1439) - Softcover

Bujalance, Emilio; Etayo, Jose J.; Gamboa, Jose M.; Gromadzki, Grzegorz

Softcover

ISBN 10: 3540529411 ISBN 13: 9783540529415

Publisher: Springer, 1990

Synopsis

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.

About this title

Synopsis

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. 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.

Edition details

• Publisher: Springer
• Publication date: 1990
• Language: English
• ISBN 10: 3540529411
• ISBN 13: 9783540529415
• Binding: Paperback
• Number of pages: 225