English

Regular Cayley Maps of Elementary abelian $p$-groups: Classification and Enumeration

Combinatorics 2022-10-04 v1

Abstract

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 pp-groups ZpnZ_p^n. In this paper, a complete classification of regular Cayley maps of ZpnZ_p^n is given and moreover, the number of these maps and their genera are enumerated.

Keywords

Cite

@article{arxiv.2210.00699,
  title  = {Regular Cayley Maps of Elementary abelian $p$-groups: Classification and Enumeration},
  author = {Shaofei Du and Hao Yu and Wenjuan Luo},
  journal= {arXiv preprint arXiv:2210.00699},
  year   = {2022}
}

Comments

20 pages

R2 v1 2026-06-28T02:34:37.174Z