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On automorphisms of finite Abelian $p$-groups

In: Mathematica Slovaca, vol. 58, no. 4
Marek Golasiński - Daciberg Lima Goncalves

Details:

Year, pages: 2008, 405 - 412
Keywords:
finite abelian $p$-group, automorphism group, semi-direct product
About article:
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 $Ap$. For a finite abelian $p$-group $A$ of type $(k1,…,kn)$, 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 $(k1,k2)$ is analyzed.
How to cite:
ISO 690:
Golasiński, M., Goncalves, D. 2008. On automorphisms of finite Abelian $p$-groups. In Mathematica Slovaca, vol. 58, no.4, pp. 405-412. 0139-9918.

APA:
Golasiński, M., Goncalves, D. (2008). On automorphisms of finite Abelian $p$-groups. Mathematica Slovaca, 58(4), 405-412. 0139-9918.