Lehmer sequences in finite groups

• Date: 2016
• Main Authors: Deveci, Ö., Karaduman, E., Девесі, О., Карадуман, Е.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2016
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/1832
• Journal Title: 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...