The Non-Coprime Graph of Finite Groups
نویسندگان
1 Department of Pure Mathematics, International Campus of Ferdowsi University of Mashhad, Mashhad, Iran
2 Department of Mathematics, Quchan University of Technology, Quchan, Iran
doi
10.22052/mir.2019.172393.1117چکیده
The non-coprime graph Π_G of a finite group G is a graph with the vertexset G-{e}, where two distinct vertices u and v are adjacent if they havenon-coprime orders. In this paper, the main properties of the Cartesian andtensor product of the non-coprime graph of two finite groups are investigated.We also describe the non-coprime graph of some special groups including thedihedral and semi-dihedral groups. Some open questions are also proposed.
