A note on matchings in abelian groups
Combinatorics
2020-02-21 v3
Abstract
The question of finding sets of monomials which are removable from a generic homogeneous polynomial through a linear change in its variables was raised by E. K. Wakeford in 1916. This linear algebra question motivated J. Losonczy to define the concept of acyclic matchings in Z n, and later in abelian groups. In this paper, we give a constructive approach to study the acyclic matchings in cyclic groups. We also introduce the notion of weakly matched subsets and investigate its relation with matchings in abelian groups.
Keywords
Cite
@article{arxiv.1808.04975,
title = {A note on matchings in abelian groups},
author = {Mohsen Aliabadi and Shiva Soleimany Dizicheh},
journal= {arXiv preprint arXiv:1808.04975},
year = {2020}
}