群直积分解的一个定理的改进及其推广

The Improvement and Spread of a Theorem of Group Direct Product Decomposition

对群直积分解的定理[1]"如果︱a︱=n=rs,这里(r,s)=1,且r,s都是素数,则(a)=^(b)×(c),其中︱b︱=r,︱c︱=s."作了改进及其推广.

This paperimproves and spreads a theorem of group direct product decomposition：＂ if︱ a ︱= n = rs,then（a）=^（b）×（c）.here r,s are prime numbers（r,s）=1,and ︱b︱ = r,︱c︱ = s＂.