再论能表示为三个真子群的并的群

Rediscussion of the Group That Can Be the Union of Three Proper Subgroups

给出了一个群能表示为三个真子群的并的一个简单证明;证明了一个群只有三个极大子群且能表示为三个真子群的并当且仅当这个群是二元生成2群.

It was discussed many years ago that a group could be the union of three distinct proper subgroups. Recently, the proof has been simplified, but remains complicated. A very simple proof is given for this result in this article, and the finite group that can be written into the union of three distinct proper subgroups and has exactly three maxinmal subgroups is classified.