Lehmer Sequences in Finite Groups

Deveci O., Karaduman E.

UKRAINIAN MATHEMATICAL JOURNAL, cilt.68, sa.2, ss.193-202, 2016 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 68 Sayı: 2
  • Basım Tarihi: 2016
  • Doi Numarası: 10.1007/s11253-016-1218-1
  • Dergi Adı: UKRAINIAN MATHEMATICAL JOURNAL
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.193-202
  • Atatürk Üniversitesi Adresli: Evet

Özet

We study the Lehmer sequences modulo m. Moreover, we define the Lehmer orbit and the basic Lehmer orbit of a 2-generator group G for a generating pair (x, y) a G and examine the lengths of the periods of these orbits. Furthermore, we obtain the Lehmer lengths and the basic Lehmer lengths of the Fox groups G (1,t) for t aeyen 3.