摘要
文献[1]论证n阶群同构类的个数在1000以内的存在性。文章给出群同构类Balass计数公式运算的算法,用计算机代数语言Matlab加以实现,进而将群同构类的个数推广到3000。即设f(n)为n阶群同构类的个数,证明方程f(n)=k,(1≤k≤3000)解的存在性。
It has been discussed in the Reference [1] that if 1≤k≤1000, algorithm of Balass'enumeration formulas for the number of isomorphism classes of groups is obtained in the paper, and is realized by Matlab program. There are infinitely many solutions for f(n)=k. Also k is extended, that is if, there are infinitely many solutions for f(n)=k.
出处
《四川理工学院学报(自然科学版)》
CAS
2008年第4期13-15,共3页
Journal of Sichuan University of Science & Engineering(Natural Science Edition)
基金
西南科技大学青年科技基金(07zx3129)