Automorphisms of Riemann Surfaces, Subgroups of Mapping Class Groups and Related Topics (Contemporary Mathematics, 776) - Softcover

Aaron Wootton; S. Allen Broughton; Jennifer Paulhus

Softcover

ISBN 10: 1470460254 ISBN 13: 9781470460259

Publisher: American Mathematical Society, 2022

Synopsis

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.

Edition details

• Publisher: American Mathematical Society
• Publication date: 2022
• Language: English
• ISBN 10: 1470460254
• ISBN 13: 9781470460259
• Binding: Paperback
• Number of pages: 353
• Editor: Aaron Wootton, S. Allen Broughton, Jennifer Paulhus