On local matching property in groups and vector space
Mohsen Aliabadi, Mano Vikash Janardhanan · arXiv (Cornell University) · 2018
In this paper, we define locally matchable subsets of a group which is derived from the concept of matchings in groups and used as a tool to give alternative proofs for existing results in matching theory. We also give the linear analogue of local matching property for subspaces in a field extension. Our tools mix additive number theory, combinatorics and algebra.