 
Summary: Z .JOURNAL OF ALGEBRA 185, 329 341 1996
ARTICLE NO. 0328
Z .Splitting Groups of Signature 1; n
D. D. LongU
Department of Mathematics, Unišersity of California, Santa Barbara, California 93106
C. Maclachlan
Department of Mathematical Sciences, Unišersity of Aberdeen, Aberdeen AB9 2TY,
United Kingdom
and
A. W. Reid
Department of Pure Mathematics, Unišersity of Cambridge, Cambridge CB2 1SB,
United Kingdom; and Department of Mathematics, Unišersity of Texas, Austin,
Texas 78712
Communicated by A. Lubotzky
Received July 25, 1995
1. INTRODUCTION
Let G be a cocompact Fuchsian group. As such, it acts discontinuously
on the hyperbolic plane H2
and the quotient is a closed hyperbolic
2orbifold. The structure theory for cocompact Fuchsian groups yields a
