摘要
本文利用有限Abel群G的自同构群A(G)的阶来刻划群G的构造,证明了当|A(G)2~t pqr(1≤t≤3)时,G最多有207型。
We have discussed structures of Abelian group G by order |A(G)| of automorphism group and obtained all types of finite Abelian group G when the order of A(G) equals 2'pqr (1≤t≤3, p, q, r and different odd primes). The following theorem is proved: Theorem Let G be finite A belian group, if|A(G)|=2'pqr (1≤t≤3, p, q, r are different odd primes), then 1) G has 8'types when t=1, 2) G has 53 types when t=2, 3) G has 146 types when t=3.
出处
《武汉大学学报（自然科学版）》
CSCD
1993年第2期9-13,共5页
Journal of Wuhan University(Natural Science Edition)
关键词
自同构群
群构造
欧拉函数
交换群
automorphism group, abelian group, structure of group, Enler function
