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Paper Information

Journal:   IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A- SCIENCE   FALL2010 , Volume 34 , Number A4; Page(s) 275 To 283.
 
Paper: 

K-NACCI SEQUENCES IN MILLER’S GENERALIZATION OF POLYHEDRAL GROUPS

 
 
Author(s):  DEVECI O.*, KARADUMAN E.
 
* DEPARTMENT OF MATHEMATICS, FACULTY OF SCIENCE AND LETTERS, KAFKAS UNIVERSITY, TURKEY
 
Abstract: 

A k-nacci sequence in a finite group is a sequence of group elements x0, x1, x2,…, xn,… for which, given an initial (seed) set x0, x1, x2,…, xj-1,each element is defined by

 

xn={ x0x1…xn-1                       for j£n<k,

        xn-kxn-k=1…xn-1              for n³k.

 

In this paper, we examine the periods of the k-nacci sequences in Miller’s generalization of the polyhedral groups á2,2½2;qñ,án,2½2;qñ,á2,n½2;qñ,á2,2½2;qñ, for any n>2.

 
Keyword(s): K-NACCI SEQUENCE, PERIOD, DIHEDRAL GROUP, POLYHEDRAL GROUP
 
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