In mathematics, a Schottky group is a special sort of Kleinian group, first studied by Friedrich Schottky Contents. [hide]. 1 Definition; 2 Properties Definition · Properties · Classical and non-classical · Limit sets of Schottky groups.
A group of Möbius transformations is said to be a marked Schottky group of genus g with standard generators T\, * • •, T0, if there exist disjoint Jordan curves Fi.
non-K\"ahler compact complex manifolds having free fundamental groups. As a byproduct, we see that the Schottky construction allows to. Sign up or log in. We'll provide a PDF copy for your screen reader. It is perfect and nowhere dense with positive logarithmic capacity. Conversely any compact Riemann surface of genus g can be obtained from some Schottky group group of genus g. Can you define what are these "loxodromic" elements?