|Hom(A, G)|
|Hom(A, G)|
复制标题
|坎(A, G)|
DOI：
10.1006/jabr.1993.1066
复制
发表时间：
1993
影响因子：
0.9
通讯作者：
Tomoyuki Yoshida
中科院分区：
文献类型：
--
作者：
Tomoyuki Yoshida
摘要证明了对于任意有限群G和任意有限阿贝尔群A， A到G的同态数可被| A |和| G |的最大公因数整除。这个结果推广了Frobenius关于有限群上方程x n = 1的解的个数的一个老定理。
Abstract In this paper, we prove that for any finite group G and any finite abelian group A , the number of homomorphism from A to G is divisible by the greatest common divisor of | A | and | G |. This result is a generalization of an old theorem of Frobenius on the number of solutions of the equation x n = 1 on a finite group.