单位群Z_n*上的迭代图的圈结构

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

数学季刊 ›› 2014, Vol. 29 ›› Issue (4): 565-572.doi: 10.13371/j.cnki.chin.q.j.m.2014.04.011

单位群Z_n*上的迭代图的圈结构

Faculty of Science, Nantong University

收稿日期:2013-03-03 出版日期:2014-12-30 发布日期:2020-11-26
作者简介: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.
基金资助:
Supported by the National Natural Science Foundation of China(11271208)；

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

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)；

摘要/Abstract

摘要： 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.

关键词: iteration digraph, tail, tree, cycle

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

中图分类号:

O157.5

居腾霞, 吴美云. 单位群Z_n*上的迭代图的圈结构[J]. 数学季刊, 2014, 29(4): 565-572.

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.

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单位群Z_n*上的迭代图的圈结构

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

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单位群Z_n*上的迭代图的圈结构

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

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