On the Cycle Structure of Iteration Graphs over the Unit Group Zn*

JU Teng-xia, WU Mei-yun

doi:10.13371/j.cnki.chin.q.j.m.2014.04.011

Chinese Quarterly Journal of Mathematics >

2014 , Vol. 29 >Issue 4: 565 - 572

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2014.04.011

On the Cycle Structure of Iteration Graphs over the Unit Group Z_n^*

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Faculty of Science, Nantong University

JU Teng-xia(1972-), female, native of Yangzhou, Jiangsu, an associate professor of Nantong University, Ph.D., engages in ring; WU Mei-yun(1971-), female, native of Nantong, Jiangsu, an associate professor of Nantong University, M.S.D., engages in ring.

Received date: 2013-03-03

Online published: 2020-11-26

Supported by

Supported by the National Natural Science Foundation of China(11271208)；

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Abstract

In this paper, we consider the properties of iteration graphs over the unit group Z_n^*of the residue ring Z _n associated with the maps x → x ^p and compute the average values of tails and cycles of those iteration graphs.

Key words： iteration digraph; tail; tree; cycle

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JU Teng-xia, WU Mei-yun . On the Cycle Structure of Iteration Graphs over the Unit Group Z_n^*[J]. Chinese Quarterly Journal of Mathematics, 2014 , 29(4) : 565 -572 . DOI: 10.13371/j.cnki.chin.q.j.m.2014.04.011

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