Yurttaş, AysunDemirci, MusaÖzbay, HaticeÇapkın, MügeCangul, İsmail Naci2024-11-122024-11-122009-08-010972-5555https://hdl.handle.net/11452/47740Cycloidal 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 (g; infinity). Here these subgroups are given by their signatures for q = 4, 5, 6 first, and then for all q. It is found that when q equivalent to 2 mod 4, H(lambda(q)) has no cycloidal free subgroups.eninfo:eu-repo/semantics/closedAccessHecke groupsCycloidal subgroupParabolic class numberMathematicsArticle000421326900006191201142