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.