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Marked Schottky Groups and Representations of Surface Groups
Author(s) -
Button J. O.
Publication year - 2003
Publication title -
proceedings of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.899
H-Index - 65
eISSN - 1460-244X
pISSN - 0024-6115
DOI - 10.1112/s0024611502013813
Subject(s) - psl , mathematics , group (periodic table) , surface (topology) , schottky diode , set (abstract data type) , mathematics subject classification , combinatorics , pure mathematics , algebra over a field , geometry , physics , quantum mechanics , computer science , diode , programming language
We give a complete condition for any n elements of PSL(2, R) to generate a Fuchsian group which is a Schottky group on that set of generators, and apply it to a question of Bowditch on representations of surface groups into PSL(2, R ). 2000 Mathematical Subject Classification : 20H10, 32G15.