曲阜师范大学学报（自然科学版）2024，Vol.50Issue(3)：29-33,5.DOI:10.3969/j.issn.1001-5337.2024.3.029
24p2q2r阶自同构群的有限Abel群G的构造
Structure of finite abelian group G with automorphism group of order 24p2q2r
摘要
Abstract
Let p,q,r be three pairwise distinct odd primes,and p<q<r.Let G be a finite abelian group,and A(G)the automorphism group of G.For a given finite group G,there is a unique and definite automorphism group A(G).Conversely,it is a difficult problem to determine the construction of a finite group by automorphism group.This research proved all types of finite abelian group G when the order of automorphism group is 24p2q2r.关键词
自同构群/有限Abel群/欧拉函数/群结构Key words
automorphism group/finite abelian group/Euler function/structure of group分类
数理科学引用本文复制引用
王晶磊,何立国..24p2q2r阶自同构群的有限Abel群G的构造[J].曲阜师范大学学报（自然科学版）,2024,50(3):29-33,5.基金项目
国家自然科学基金(12171058). （12171058）
