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2006 / September Volume 1 No.3
A constructive method for the cycloidal normal free subgroups of finite index of Hecke groups $H(\sqrt{2})$ and $H(\sqrt{3})$
Published Date
2006 / September
Title
A constructive method for the cycloidal normal free subgroups of finite index of Hecke groups $H(\sqrt{2})$ and $H(\sqrt{3})$
Author
Setenay Doğan, Musa Demirci, Osman Bizim, İsmail Naci Cangül
Keyword
Cycloidal subgroups, Hecke groups, permutation method, Cycloidal subgroups, Hecke groups, permutation method
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Pagination
429-436
Abstract
Cycloidal subgrups of the modular group are studied in [8]. Here cycloidal free normal subgroups of Hecke groups are considered. It is found that when $q \equiv 2$ (mod 4), $H(\lambda_q)$ has no such subgroups. In all other cases the signatures of these subgroups are constructed by means of $q$-gons and their signatures are given.
AMS Subject
Classification
20H05, 11F06, 11F41, 11F46
Received
2005-11-10
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