论文标题
在非亚洲有限群体上的整体混合凯利图上,录取了索引2
On integral mixed Cayley graphs over non-abelian finite groups admitting an abelian subgroup of index 2
论文作者
论文摘要
最近,许多作者的作品提供了广义二面群和广义双环组的积分无向Cayley图的特征。我们以两种不同的方式概括和统一这些结果。首先,我们在任意的非亚伯式有限群体上进行工作,该群体承认了一个索引2的阿贝利亚亚组。其次,我们的主要结果实际上是在这种有限群体上的整体混合Cayley图表,本着kadyan-bhattarcharjya在阿贝里亚案中的最新结果的精神。
Recently, several works by a number of authors have provided characterizations of integral undirected Cayley graphs over generalized dihedral groups and generalized dicyclic groups. We generalize and unify these results in two different ways. Firstly, we work over arbitrary non-abelian finite groups admitting an abelian subgroup of index 2. Secondly, our main result actually characterizes integral mixed Cayley graphs over such finite groups, in the spirit of a very recent result of Kadyan--Bhattarcharjya in the abelian case.