Author(s)

Khalid Amin

Department of Mathematics, College of Science, University of Bahrain, Bahrain, Kingdom of Bahrain.

Tilings of p-groups are closely associated with error-correcting codes. In [1], M. Dinitz, attempting to generalize full-rank tilings of  Zⁿ₂  to arbitrary finite abelian groups, was able to show that if p ≥5, then Zⁿ_p  admits full-rank tiling and left the case p=3, as an open question. The result proved in this paper the settles of the question for the case p=3.

Factorization of Abelian Groups, Error-Correcting Codes

Amin, K. (2017) Non-Full Rank Factorization of Finite Abelian Groups. Open Journal of Discrete Mathematics, 7, 51-53. doi: 10.4236/ojdm.2017.72005.