Chinese Quarterly Journal of Mathematics ›› 2014, Vol. 29 ›› Issue (4): 565-572.doi: 10.13371/j.cnki.chin.q.j.m.2014.04.011

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

  

  1. Faculty of Science, Nantong University
  • Received:2013-03-03 Online:2014-12-30 Published:2020-11-26
  • About author: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.
  • Supported by:
    Supported by the National Natural Science Foundation of China(11271208);

Abstract: In this paper, we consider the properties of iteration graphs over the unit group Zn*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

CLC Number: