Power subgroups of the extended Hecke groups

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Sarigedik Z., Ikikardes S., Sahin R.

Miskolc Mathematical Notes, cilt.16, sa.1, ss.483-490, 2015 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 16 Sayı: 1
  • Basım Tarihi: 2015
  • Doi Numarası: 10.18514/mmn.2015.1214
  • Dergi Adı: Miskolc Mathematical Notes
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.483-490
  • Anahtar Kelimeler: extended Hecke groups, power subgroups
  • Manisa Celal Bayar Üniversitesi Adresli: Evet

Özet

We consider the extended Hecke groups H(λq) generated by T(Z)=-1/Z,S(Z)=-1/(Z+λq) and R(Z)=1/Z with λq = 2cos(π/q) for q ≥ 3 integer: In this article, we study the abstract group structures of the power subgroups Hm(λq) of H(λq) for each positive integer m. Then, we give the relations between commutator subgroups and power subgroups.