ENGLISH

Automorphism Groups of Compact Bordered Klein Surfaces: A Combinatorial Approach

By Emilio Bujalance , Jose Manuel Gamboa , Grzegorz Gromadzki (auth.) , José Javier Etayo

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
1990
ISBN
978-3-540-52941-5, 978-3-540-47180-6
DOI
10.1007/BFb0084977
Language
english
Format
PDF
Filesize
4 MB (4000045 bytes)
Series
Lecture Notes in Mathematics 1439
Edition
1
Pages
212\213
Orientation
yes
Scanned
yes
Time added
2013-08-01 04:00:00
Algebraic Geometry; Group Theory and Generalizatio

Description

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.

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