FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2003, VOLUME 9, NUMBER 1, PAGES 259-262

**Groups of signature $(0;n;0)$**

P.
Tumarkin

Abstract

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Let $M$ be
an ideal polygon with $2n$-
2 vertices.
Consider a pairing of the symmetrical (with respect to some fixed
diagonal) sides of $M$ by
mappings $S$_{i}, $1$£ i £ n -
1, and denote
by $$G the group generated
by these mappings.
Each $S$_{i} depends on
one parameter.
We prove a necessary and sufficient condition for the possibility
of choosing these parameters so that our polygon $M$ would be
a fundamental domain for the action of $$G.

Location: http://mech.math.msu.su/~fpm/eng/k03/k031/k03116h.htm

Last modified: April 4, 2004.