Advanced Search

Query:

Fill in the form and click »Search«...

Format:

Display: entries per page entries

Zbl 1119.11014
Karaduman, Erdal; Aydin, Hüseyin
On the periods of 2-step general Fibonacci sequences in dihedral groups. (English)
[J] Mat. Vesn. 58, No. 1-2, 47-56 (2006). ISSN 0025-5165

A group $D_n$ is called dihedral if $D_n=\langle a,b:a^n=e,\;b^2=e,\;ab=ba^{-1}\rangle$. The $2$-step general Fibonacci sequences in $D_n$ are defined by $x_0=a$, $x_1=b$, $x_i=x_{i-2}^m x_{i-1}^l$ ($i\geq2$) for integers $m$ and $l$. The authors consider the conditions where the $2$-step general Fibonacci sequences in $D_n$ are simply periodic, namely have repetitions of fixed subsequences from the initial element $a$. They also give the period of the sequences in such cases.
[Takao Komatsu (Hirosaki)]

MSC 2000:: *11B39 Special numbers, etc.

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Advanced Search

Zentralblatt MATH Berlin [Germany]