Acyclicity for Groups and Vector Spaces
Combinatorics
2019-01-01 v1 Group Theory
Abstract
The notion of acyclic matching property was provided by Losonczy and it was proved that torsion-free groups admit this property. In this paper, we introduce a duality of acyclic matching as a tool for classification of some Abelian groups, moreover, we study matchings for vector spaces and give a connection between matchings in groups and vector spaces. Our tools mix additive number theory, combinatorics and algebra.
Cite
@article{arxiv.1507.07143,
title = {Acyclicity for Groups and Vector Spaces},
author = {M. Aliabadi and H. Jolany and M. Amin Khajehnejad and M. J. Moghaddamzadeh and H. Shahmohamad},
journal= {arXiv preprint arXiv:1507.07143},
year = {2019}
}