English

Power graphs of (non)orientable genus two

Group Theory 2015-12-17 v4 Combinatorics

Abstract

The power graph ΓG\Gamma_G of a finite group GG is the graph whose vertex set is the group, two distinct elements being adjacent if one is a power of the other. In this paper, we classify the finite groups whose power graphs have (non)orientable genus two.

Keywords

Cite

@article{arxiv.1509.02104,
  title  = {Power graphs of (non)orientable genus two},
  author = {Xuanlong Ma and Gary L. Walls and Kaishun Wang},
  journal= {arXiv preprint arXiv:1509.02104},
  year   = {2015}
}

Comments

17 pages, 7 figures

R2 v1 2026-06-22T10:50:56.716Z