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arxiv: 1808.02368 · v1 · pith:Q2Y3H26Rnew · submitted 2018-08-03 · 🧮 math.CO

On local matching property in groups and vector space

Mohsen Aliabadi , Mano Vikash Janardhanan This is my paper
classification 🧮 math.CO
keywords matchinggivegroupslocalpropertytheoryadditivealgebra
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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.

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