关于亚循环2-群的对合交换图

On Commuting Involution Graphs of Meta-cyclic 2-groups

对合交换图是以群中二阶元共轭类为顶点,两顶点有边当且仅当它们交换的图.

For a group G and a conjugacy class x of an involution of G,the commuting graph ΓG（x）of G on x,is the graph whose vertex set is x and distinct vertices x and y having an edge if and only if xy =yx. In this paper,we classify the structure of the commuting involution graph of meta-cyclic 2-groups.