2024-09-282024-09-282006-09-012304-7909https://hdl.handle.net/11452/45439Cycloidal 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.eninfo:eu-repo/semantics/closedAccessCycloidal subgroupsHecke groupsPermutation methodScience & technologyPhysical sciencesMathematicsA constructive method for the cycloidal normal free subgroups of finite index of hecke groups H (√2) AND H (√3)Article00042012470000442943613