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Fundamental Domains and Cyclic Subgroups of Fuchsian Groups

โœ Scribed by Beardon, A. F.


Book ID
120095004
Publisher
Oxford University Press
Year
1980
Tongue
English
Weight
116 KB
Volume
s2-21
Category
Article
ISSN
0024-6107

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We show that if โŒซ is a finitely presented normal subgroup of a product G = G 1 2 of Fuchsian groups which projects nontrivially to each factor, then โŒซ has finite index in G = G . The proof uses the author's previous reduction of the descrip-1 2 tion of normal subdirect products to the abelian case