English

On local matching property in groups and vector space

Combinatorics 2018-08-08 v1

Abstract

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.

Keywords

Cite

@article{arxiv.1808.02368,
  title  = {On local matching property in groups and vector space},
  author = {Mohsen Aliabadi and Mano Vikash Janardhanan},
  journal= {arXiv preprint arXiv:1808.02368},
  year   = {2018}
}

Comments

arXiv admin note: substantial text overlap with arXiv:1601.06322

R2 v1 2026-06-23T03:26:49.478Z