Characterization of the automorphisms having the lifting property in the category of abelian p -groups

S. Abdelalim and H. Essannouni

International Journal of Mathematics and Mathematical Sciences, 2003, vol. 2003, 1-6

Abstract:

Let p be a prime. It is shown that an automorphism α of an abelian p -group A lifts to any abelian p -group of which A is a homomorphic image if and only if α = π id A , with π an invertible p -adic integer. It is also shown that if A is torsion group or torsion-free p -divisible group, then id A and − id A are the only automorphisms of A which possess the lifting property in the category of abelian groups.

Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:791965

DOI: 10.1155/S016117120321067X

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