On automorphisms of finite abelian p-groups

被引：6

作者：

Golasinski, Marek ^{[1
]}

Goncalves, Daciberg Lima ^{[2
]}

机构：

[1] Nicholas Copernicus Univ, Fac Math & Comp Sci, PL-87100 Torun, Poland

[2] Univ Sao Paulo, IME, Dept Math, BR-05314970 Sao Paulo, Brazil

来源：

MATHEMATICA SLOVACA | 2008年 / 58卷 / 04期

关键词：

finite abelian p-group; automorphism group; semi-direct product;

D O I：

10.2478/s12175-008-0084-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

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 x 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. (C) 2008 Mathematical Institute Slovak Academy of Sciences.

引用

页码：405 / 412

页数：8

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