2017
Том 69
№ 9

# Lehmer sequences in finite groups

Abstract

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 the Fox groups $G_{1,t}$ for $t \geq 3$.

Citation Example: Deveci Ö., Karaduman E. Lehmer sequences in finite groups // Ukr. Mat. Zh. - 2016. - 68, № 2. - pp. 175-182.