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Proceedings of the London Mathematical Society Advance Access originally published online on June 24, 2007
Proceedings of the London Mathematical Society 2007 95(3):609-652; doi:10.1112/plms/pdm018
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© 2007 London Mathematical Society

The rank problem for sufficiently large Fuchsian groups

Richard Weidmann

Department of Mathematics and newline the Maxwell Institute of Mathematical Sciences
Heriot-Watt University
Riccarton
Edinburgh
EH14 4AS
United Kingdom

Received 15 March 2005. Revision received 16 January 2007.

We give a complete solution for the rank problem of sufficiently large Fuchsian groups, that is, we determine their minimal number of generators. This class of groups includes most Fuchsian groups.

2000 Mathematics Subject Classification 20H10 (primary), 20F99 (secondary).


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