6533b854fe1ef96bd12af1ca

RESEARCH PRODUCT

Geometric limits of cyclic groups and the shape of Schottky space

Jouni Parkkonen

subject

PhysicsGeneral MathematicsMathematical analysisBoundary (topology)Schottky diodeCyclic groupGeometrySpace (mathematics)

description

We give a local estimate of the shape of Schottky space at certain boundary points. This is done by studying the geometric limits of sequences of cyclic groups and applying the results to the generators of Schottky groups. We also obtain information on discrete, non-faithful representations close to the cusps.

https://doi.org/10.1017/s0305004104007583