Bound on the diameter of metacyclic groups

被引：0

作者：

Rajeevsarathy, Kashyap ^{[1
]}

Sarkar, Siddhartha ^{[1
]}

机构：

[1] Indian Inst Sci Educ & Res Bhopal, Dept Math, Bhopal Bypass Rd, Bhopal 462066, Madhya Pradesh, India

来源：

JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2020年 / 19卷 / 11期

关键词：

Split metacyclic groups; diameter; finite rings; finite fields; CAYLEY-GRAPHS;

D O I：

10.1142/S0219498820502199

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let G(m,n,k) = Z(m) proportional to(k) Z(n) be the split metacyclic group, where k is a unit modulo n. We derive an upper bound for the diameter of G(m,n,k) using an arithmetic parameter called the weight, which depends on n, k, and the order of k. As an application, we show how this would determine a bound on the diameter of an arbitrary metacyclic group.

引用

页数：15

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