TITLE:
Factoring Elementary p-Groups for p ≤ 7
AUTHORS:
Sándor Szabó
KEYWORDS:
Factorization of Finite Abelian Groups, Full-Rank Subset, Full-Rank Factorization, Periodic Subset, Periodic Factorization, Rédei’s Conjecture, Corrádi’s Conjecture
JOURNAL NAME:
Open Journal of Discrete Mathematics,
Vol.1 No.1,
April
8,
2011
ABSTRACT: It is an open problem if an elementary p-group of rank k ≥ 3 does admit full-rank normalized factorization into two of its subsets such that one of the factors has p elements. The paper provides an answer in the p ≤ 7 special case.