摘要
设S_(n)是n次对称群.本文证明了n≥4时S_(n)中任意一个元素可以写成2个二阶元的乘积,且任意一个阶大于2的元素都可以写成一个二阶元和一个三阶元的乘积.
Let S_(n)be the symmetry group of degree n.In this paper the author proves that when n is greater than or equal to 4,any element in S_(n)can be written as the product of two elements with order 2,and any element of order greater than 2 can be written as the product of an element with order 2 and an element with order 3.
作者
陈杏
史彦青
李立斌
CHEN Xing;SHI Yanqing;LI Libin(School of Mathematical Sciences,Yangzhou University,Yangzhou 225002,China)
出处
《扬州大学学报（自然科学版）》
CAS
北大核心
2022年第4期1-3,共3页
Journal of Yangzhou University：Natural Science Edition
基金
国家自然科学基金资助项目(11871063)。
关键词
对称群
置换乘积的阶
二阶元
三阶元
symmetry group
order of a product of permutation
second-order element
third-order element
