通过对 2 -群的研究 ,得到了一类 2 -群的结构 ,进而给出了一类无限 2 -群有无限的阿贝尔子群的例子 .

• In this paper, the author has investigated 2-group and has obtained the structures of one class of 2-group. Furthermore, the author gives an example that an infinite 2-group has an infinite abelian subgroup.