Automorphism groups of compact bordered Klein surfaces
Subtitle: a combinatorial approach
By: Emilio Bujalance ... [et al.].
Contributors: Bujalance García, Emilio.
Series: Lecture notes in mathematics ;; 1439; Lecture notes in mathematics (Springer-Verlag) ;; 1439.
Publisher: Springer-Verlag
Published: 1990
Place of publication: Berlin; New York
Language: eng
Number of pages: 201
Subjects: Curves, Algebraic.; Riemann surfaces.; Automorphisms.
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.
Notes: Includes bibliographical references (p. [187]-193) and indexes.