M?bius Regular Maps of Order pq

作     者：Fu Rong WANG Shao Fei DU 

作者机构：School of InformationBeijing Wuzi University School of Mathematical SciencesCapital Normal University 

出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)

年 卷 期：2019年第35卷第5期

页      面：690-702页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：Supported by the National Natural Science Foundation of China(Grant Nos.11671276 and 11371259) 

主　　题：Mobius regular maps regular embedding permutation group 

摘      要：M?bius regular maps are surface embeddings of graphs with doubled edges such that(i)the automorphism group of the embedding acts regularly on flags and(ii) each doubled edge is a center of a M?bius band on the surface. In this paper, we classify M?bius regular maps of order pq for any two primes p and q, where p≠q.