%0 Journal Article
%T Subgroups which admit extensions of homomorphisms
%A Simion Breaz
%A Grigore C£¿lug£¿reanu
%A Phill Schultz
%J Mathematics
%D 2013
%I arXiv
%X We classify by numerical invariants the finite subgroups $H$ of a primary abelian group $G$ for which every homomorphism or monomorphism of $H$ into $G$, or every endomorphism of $H$, extends to an endomorphism of $G$. We apply these results to show that for finitely generated subgroups of general abelian groups, the extendibility of monomorphisms implies the extendibility of all homomorphisms.
%U http://arxiv.org/abs/1304.3373v2