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articleNo Access
THE DIGRAPH OF THE SQUARE MAPPING ON QUOTIENT RINGS OVER THE GAUSSIAN INTEGERS
- YOTSANAN MEEMARK and
- NAWAPHON MAINGAM
International Journal of Number Theory01 May 2011
Preview Abstract
In this work, we investigate the structure of the digraph associated with the square mapping on the ring of Gaussian integers by using the exponent of the unit group modulo γ. The formula for the fixed points of is established. Some connections of the lengths of cycles with the exponent of the unit group modulo γ are presented. Furthermore, we study the maximum distance from the cycle on each component.

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