Factoring Elementary p-Groups for p ≤ 7 - Open Journal of Discrete Mathematics

OJDM > Vol.1 No.1, April 2011

Open Journal of Discrete Mathematics

Volume 1, Issue 1 (April 2011)

ISSN Print: 2161-7635 ISSN Online: 2161-7643

Google-based Impact Factor: 0.39 Citations

Factoring Elementary p-Groups for p ≤ 7 ()

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DOI: 10.4236/ojdm.2011.11001 5,041 Downloads 13,495 Views Citations

Author(s)

Sándor Szabó

Affiliation(s)

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.

KEYWORDS

Factorization of Finite Abelian Groups, Full-Rank Subset, Full-Rank Factorization, Periodic Subset, Periodic Factorization, Rédei’s Conjecture, Corrádi’s Conjecture

Share and Cite:

Szabó, S. (2011) Factoring Elementary p-Groups for p ≤ 7. Open Journal of Discrete Mathematics, 1, 1-5. doi: 10.4236/ojdm.2011.11001.

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