English

On local matchability in groups and vector spaces

Group Theory 2019-10-28 v3 Combinatorics

Abstract

In this paper, we define locally matchable subsets of a group which is extracted 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 locally matchability for subspaces in a field extension. Our tools mix additive number theory, combinatorics and algebra

Keywords

Cite

@article{arxiv.1601.06322,
  title  = {On local matchability in groups and vector spaces},
  author = {Mohsen Aliabadia and Mano Vikash Janardhanan},
  journal= {arXiv preprint arXiv:1601.06322},
  year   = {2019}
}

Comments

By mistake I have already submitted the same paper with small change on its title. I was not aware that I could have edited it

R2 v1 2026-06-22T12:35:29.406Z