TOROIDAL AND PROJECTIVE CYCLIC GRAPHS

Authors

  • Mohammad Naghshinehfard Department of Mathematics, Jahrom branch, Islamic Azad University, Jahrom, Iran
  • Foroud Parvaneh

DOI:

https://doi.org/10.30495/jme.v12i1.632

Abstract

All finite groups with toroidal or projective cyclic graphs are classified. Indeed, it is shown that the only finite groups with projective cyclic graphs are S3 × Z2, D14, QD16 and <x, y : x^7 = y^3 = 1; x^y = x^2> which all have toroidal cyclic graph too. Also, D16 is characterized as the only finite group whose cyclic graph is toroidal but not projective

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Published

2017-12-24

Issue

Vol. 12

Section

Vol. 12, No. 1, (2018)

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