K-nacci Sequences in Finite Triangle Groups

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Atıf İçin Kopyala

KARADUMAN E., Deveci O.

DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2009 (SCI-Expanded)

• Yayın Türü: Makale / Tam Makale
• Basım Tarihi: 2009
• Doi Numarası: 10.1155/2009/453750
• Dergi Adı: DISCRETE DYNAMICS IN NATURE AND SOCIETY
• Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Atatürk Üniversitesi Adresli: Evet

Özet

A k-nacci sequence in a finite group is a sequence of group elements x(0), x(1), x(2), ... , x(n), ... for which, given an initial (seed) set x(0), x(1), x(2), ... , x(j-1), each element is defined by x(n) = x(0)x(1) ... x(n-1), for j <= n < k, and x(n) = x(n-k)x(n-k+1) ... x(n-1), for n >= k. We also require that the initial elements of the sequence, x(0), x(1), x(2), ... , x(j-1), generate the group, thus forcing the k-nacci sequence to reflect the structure of the group. The K-nacci sequence of a group generated by x(0), x(1), x(2), ... , x(j-1) is denoted by F-k(G; x(0), x(1), ..., x(j-1)) and its period is denoted by P-k(G; x(0), x(1), ... , x(j-1). In this paper, we obtain the period of K-nacci sequences in finite polyhedral groups and the extended triangle groups. Copyright (C) 2009 E. Karaduman and O. Deveci.