Square-free order of the group with six isomorphism classes
YU Hai-yang · Journal of Chengdu University of Technology · 2004
One of the important problems in the theory of finite groups is the enumeration formulae for the number of finite groups. If f(n) is the number of isomorphism classes of groups with n order, for a given integer k, then to find the integer n satisfied with f(n)=k is said to gain a solution of the equation f(n)=k. In this paper, the square-free order is analyzed and solutions for f(n)=6 are listed by using Balass (equation).