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Q. H. Wang and J. J. Zhuang, “On the Critical Number of Finite Groups of Order pq,” International Journal of Number Theory, Vol. 8, No. 5, 2012, pp. 1271-1280. doi:10.1142/S1793042112500741

has been cited by the following article:

• TITLE: Inverse Problems on Cirtical Number in Finite Groups

  AUTHORS: Qinghong Wang, Jujuan Zhuang

  KEYWORDS: Critical Number; Incomplete Set; Finite Nilpotent Group

  JOURNAL NAME: Open Journal of Discrete Mathematics, Vol.3 No.2, April 29, 2013

  ABSTRACT: Let G be a finite nilpotent group of odd order and S be a subset of G\{0}. We say that S is complete if every element of G can be represented as a sum of different elements of S and incomplete otherwise. In this paper, we obtain the characterization of large incomplete sets.