单位群Z_n*上的迭代图的圈结构

居腾霞, 吴美云

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

数学季刊 >

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

DOI: https://doi.org/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

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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.

收稿日期: 2013-03-03

网络出版日期: 2020-11-26

基金资助

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

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

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Faculty of Science, Nantong University

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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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

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

Abstract

Key words： iteration digraph; tail; tree; cycle

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