CONSTRUCTION OF CYCLOIDAL FREE SUBGROUPS OF HECKE GROUPS OF FINITE INDEX

Yurttas A., DEMİRCİ M., Ozbay H., Capkin M., CANGÜL İ. N.

JP JOURNAL OF ALGEBRA NUMBER THEORY AND APPLICATIONS, cilt.14, sa.2, ss.191-201, 2009 (ESCI) identifier

  • 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.