In this paper, we construct a new class of finite groups whose common divisor graphs are complete graphs, while there is no prime dividing all the nontrivial degrees.
基金Supported by Science Foundation of He’nan University of Technology(Grant Nos.2011BS043 and 2010BS048)Tianyuan Fund of Mathematics of China(Grant No.11226046)
文摘In this paper, we construct a new class of finite groups whose common divisor graphs are complete graphs, while there is no prime dividing all the nontrivial degrees.