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Journals / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2018 / Cilt: 67 - Sayı: 2

THE RECURRENCE SEQUENCES VIA POLYHEDRAL GROUPS

Ömür DEVECİ
Yeşim AKÜZÜM
M. CAMPBELL COLIN
Pages
99–115
Publication Date
2018-08-01
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Furthermore, we extend these sequences to groups and obtain the periods of the sequences extended in the finite polyhedral groups case

📌 3 Key Takeaways

🎯
Objective & Hypothesis: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.
📊
Key Findings & Data: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.
💡
Conclusion & Impact:Furthermore, we extend these sequences to groups and obtain the periods of the sequences extended in the finite polyhedral groups case
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Matrix · polyhedral sequences · polyhedral groups

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 case

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Cite This Article

DEVECİ, Ö., AKÜZÜM, Y., COLIN, M. C. (2018). THE RECURRENCE SEQUENCES VIA POLYHEDRAL GROUPS. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Cilt: 67 - Sayı: 2, 99–115. https://ajindex.com/articles/747148

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