On automorphisms of finite Abelian p-groups

Mathematica Slovaca

Marek Golasiński¹  Daciberg Gonçalves¹ 

关键词: finite abelian p-group;    automorphism group;    semi-direct product;   

DOI  :  10.2478/s12175-008-0084-1

学科分类：数学（综合）

来源: Slovenska Akademia Vied * Matematicky Ustav / Slovak Academy of Sciences, Mathematical Institute

【 摘 要 】

Let A be a finitely generated abelian group. We describe the automorphism group Aut(A) using the rank of A and its torsion part p-part A p.For a finite abelian p-group A of type (k 1, ..., k n), simple necessary and sufficient conditions for an n × n-matrix over integers to be associated with an automorphism of A are presented. Then, the automorphism group Aut(A) for a finite p-group A of type (k 1, k 2) is analyzed.

【 授权许可】

Unknown