能表示成四个真子群并的有限群

摘要

In this note, we study the problem of subgroups covering. By calculating the order of subgroups, we obtain the structure of finite groups G which can be written as a union of p + 1 or p + 2 proper subgroups, where p is the smallest prime divisor of the order of G, and then generalize a result in [1].%本文研究了子群覆盖问题.利用计算子群阶的方法,给出了能表示成p+1或p+2个真子群并的有限群G的结构,这里p是群G阶的最小素因子,从而推广了文献[1]中的结果.