Subgroups which admit extensions of homomorphisms
Commutative Algebra
2013-05-31 v2 Representation Theory
Abstract
We classify by numerical invariants the finite subgroups of a primary abelian group for which every homomorphism or monomorphism of into , or every endomorphism of , extends to an endomorphism of . 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.
Cite
@article{arxiv.1304.3373,
title = {Subgroups which admit extensions of homomorphisms},
author = {Simion Breaz and Grigore Călugăreanu and Phill Schultz},
journal= {arXiv preprint arXiv:1304.3373},
year = {2013}
}
Comments
v2: major revision, the title was changed, the paper was shortened, some results were removed