摘要
正整数n称为可解互素数(简记为SC-数),若G是阶与n互素的有限群,则G必可解得到了以下主要定理定理1设n为正整数。
A positive integer n is called solvable coprime numher (briefly,SC-NUMBER) if n satisfy the condition: If the order of a finite group G is prime to n, the G is solvable. The following theorem is obtained Theorem Let n be a Positive integer, then n is a SC-number if and only if n is divisible by 2 or 15.
出处
《西南师范大学学报(自然科学版)》
CAS
CSCD
北大核心
1999年第6期612-614,共3页
Journal of Southwest China Normal University(Natural Science Edition)
关键词
可解性
互素数
群
阶
有限群
solvability
coprime number
order of group