Lehmer sequences in finite groups

• Datum: 2016
• Hauptverfasser: Deveci, Ö., Karaduman, E., Девесі, О., Карадуман, Е.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2016
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/1832
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

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 $(x, y) \in G$ and examine the lengths of the periods of these orbits. Furthermore, we obtain the Lehmer lengths and the basic Lehmer lengths of...