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Automorphisms of Riemann Surfaces, Subgroups of Mapping Class Groups and Related Topics (Paperback)
Loot Price: R3,139
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Automorphisms of Riemann Surfaces, Subgroups of Mapping Class Groups and Related Topics (Paperback)
Series: Contemporary Mathematics
Expected to ship within 12 - 17 working days
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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.
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