论文标题
普通的Cayley地图,小学Abelian $ P $ -Groups:分类和枚举
Regular Cayley Maps of Elementary abelian $p$-groups: Classification and Enumeration
论文作者
论文摘要
最近,已将循环基团和二面基团的常规开饼图分类。一个自然问题是对基本Abelian $ p $ -groups $ z_p^n $的常规cayley地图进行分类。在本文中,给出了$ z_p^n $的常规cayley地图的完整分类,此外,列举了这些地图及其属的数量。
Recently, regular Cayley maps of cyclic groups and dihedral groups have been classified. A nature question is to classify regular Cayley maps of elementary abelian $p$-groups $Z_p^n$. In this paper, a complete classification of regular Cayley maps of $Z_p^n$ is given and moreover, the number of these maps and their genera are enumerated.