CONSTRUCTION OF CYCLOIDAL FREE SUBGROUPS OF HECKE GROUPS OF FINITE INDEX
JP JOURNAL OF ALGEBRA NUMBER THEORY AND APPLICATIONS, cilt.14, sa.2, ss.191-201, 2009 (ESCI)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 14 Sayı: 2
- Basım Tarihi: 2009
- Dergi Adı: JP JOURNAL OF ALGEBRA NUMBER THEORY AND APPLICATIONS
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), zbMATH
- Sayfa Sayıları: ss.191-201
- Bursa Uludağ Üniversitesi Adresli: Evet
Özet
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 (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.