Toroidal and projective commuting and non-commuting graphs

Mojgan Afkhami; Mohammad Farrokhi Derakhshandeh Ghouchan; Kazem Khashyarmanesh

Toroidal and projective commuting and non-commuting graphs

Group Theory 2014-02-21 v1

Authors: Mojgan Afkhami , Mohammad Farrokhi Derakhshandeh Ghouchan , Kazem Khashyarmanesh

Abstract

In this paper, all finite groups whose commuting (non-commuting) graphs can be embed on the plane, torus or projective plane are classified.

Keywords

algebraic tori mapping class groups groupoid actions

Cite

@article{arxiv.1402.4978,
  title  = {Toroidal and projective commuting and non-commuting graphs},
  author = {Mojgan Afkhami and Mohammad Farrokhi Derakhshandeh Ghouchan and Kazem Khashyarmanesh},
  journal= {arXiv preprint arXiv:1402.4978},
  year   = {2014}
}