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A constructive method for the cycloidal normal free subgroups of finite index of hecke groups H (√2) AND H (√3)

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Date

2006-09-01

Authors

DOĞAN, SETENAY
Demirci, Musa
Cangül, İsmail Naci
Bizim, Osman

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Acad Sinica

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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 equivalent to 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.

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Cycloidal subgroups, Hecke groups, Permutation method, Science & technology, Physical sciences, Mathematics

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