On automorphisms of finite Abelian p-groups-Reference-Cited by-同舟云学术

On automorphisms of finite Abelian p-groups

Published:2008-06-14 Issue:4 Volume:58 Page:405-412
ISSN:1337-2211
Container-title:Mathematica Slovaca
language:en
Short-container-title:

Author:

Golasiński Marek¹,Gonçalves Daciberg²

Affiliation:

1. Faculty of Mathematics and Computer Science, Nicolaus Copernicus University, Chopina 12/18, PL-87-100, Toruń, Poland

2. Department of Mathematics-IME, University of São Paulo, Caixa Postal 66.281-AG, Cidade de São Paulo, 05314-970, São Paulo, Brasil

Abstract

Abstract 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.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

http://link.springer.com/content/pdf/10.2478/s12175-008-0084-1.pdf

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