JP Journal of Algebra, Number Theory and Applications
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Abstract: Cycloidal subgroups of the modular group are studied in [7].
Cycloidal normal subgroups of the Hecke groups, which are generalisations of the
modular group, are studied in [2].
Here we study cycloidal free subgroups of Hecke groups. These are subgroups with
signature Here these subgroups are given by
their signatures for first, and then for all q.
It is found that when has no cycloidal free subgroups.
Keywords and phrases: Hecke groups, cycloidal subgroup, parabolic class number.
