Speaker：Shaofei Du（Capital Normal University）

Time：2022-09-28, 10:00

Location：Tencent Meeting ID：544-693-555（No Password）

Abstract:

A (topological) map is a cellular decomposition of a closed surface. A common way to describe maps is to view them as 2-cell embeddings of graphs. An orientable map is called regular if its group of orientation preserving automorphisms acts arc-regular.  Regular Cayley Maps are regular embeddings of Cayley graphs.

Recently, regular Cayley maps of cyclic groups and dihedral groups have been classified. Then a nature question is to classify regular Cayley maps of elementary abelian p-groups. In this talk, a complete classification of regular Cayley maps of elementary abelian p-groups will be given and moreover, the number of these maps and their genera will be enumerated.