Commutator subgroups of the extended Hecke groups (H)over-bar(lambda(q))


Sahin R., Bizim O., Cangul İ. N.

CZECHOSLOVAK MATHEMATICAL JOURNAL, cilt.54, sa.1, ss.253-259, 2004 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 54 Sayı: 1
  • Basım Tarihi: 2004
  • Doi Numarası: 10.1023/b:cmaj.0000027265.81403.8d
  • Dergi Adı: CZECHOSLOVAK MATHEMATICAL JOURNAL
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.253-259
  • Anahtar Kelimeler: Hecke group, extended Hecke group, commutator subgroup
  • Bursa Uludağ Üniversitesi Adresli: Evet

Özet

Hecke groups H(lambda(q)) are the discrete subgroups of PSL(2, R) generated by S(z) = -(z + lambda(q))(-1) and T(z) = -1/z. The commutator subgroup of H(lambda(q)), denoted by H'(lambda(q)), is studied in [2]. It was shown that H'(lambda(q)) is a free group of rank q - 1.