- Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
- Volume:67 Issue:2
- THE RECURRENCE SEQUENCES VIA POLYHEDRAL GROUPS
THE RECURRENCE SEQUENCES VIA POLYHEDRAL GROUPS
Authors : Ömür DEVECİ, Yeşim AKÜZÜM, M CAMPBELL COLIN
Pages : 99-115
View : 34 | Download : 7
Publication Date : 2018-08-01
Article Type : Research Paper
Abstract :In this paper, we define recurrence sequences by using the relation matrices of the finite polyhedral groups and then, we obtain some of their properties. Also, we obtain the cyclic groups and the semigroups which are produced by the generating matrices when read modulo a and we study the sequences defined modulo a. Then we derive the relationships between the orders of the cyclic groups obtained and the periods of the sequences defined working modulo a. Furthermore, we extend these sequences to groups and obtain the periods of the sequences extended in the finite polyhedral groups caseKeywords : Matrix, polyhedral sequences, polyhedral groups, period