I PRIKLADNAYA MATEMATIKA
(FUNDAMENTAL AND APPLIED MATHEMATICS)
2003, VOLUME 9, NUMBER 1, PAGES 259-262
Groups of signature
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an ideal polygon with vertices.
Consider a pairing of the symmetrical (with respect to some fixed
diagonal) sides of by
mappings , , and denote
by the group generated
by these mappings.
Each depends on
We prove a necessary and sufficient condition for the possibility
of choosing these parameters so that our polygon would be
a fundamental domain for the action of .
Last modified: April 4, 2004.