On local matchability in groups and vector spaces

2016/01/23 by Aliabadia, Mohsen, Janardhanan, Mano Vikash
#Combinatorics (math.CO) #FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.1601.06322

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

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