Suborbital graphs for the Atkin-Lehner group

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KÖROĞLU T., GÜLER B. Ö., Sanli Z.

TURKISH JOURNAL OF MATHEMATICS, cilt.41, sa.2, ss.235-243, 2017 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 41 Sayı: 2
  • Basım Tarihi: 2017
  • Doi Numarası: 10.3906/mat-1602-10
  • Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.235-243
  • Anahtar Kelimeler: Fuchsian groups, Atkin-Lehner group, group action, suborbital graphs, NORMALIZER
  • Karadeniz Teknik Üniversitesi Adresli: Evet

Özet

We investigate suborbital graphs for an imprimitive action of the Atkin-Lehner group on a maximal subset of extended rational numbers on which a transitive action is also satisfied. Obtaining edge and some circuit conditions, we examine some combinatorial properties of these graphs.