Toroidal and Projective Cyclic Graphs

被引:0
|
作者
Naghshinehfard, M. [1 ]
Parvaneh, F. [2 ]
机构
[1] Islamic Azad Univ, Jahrom Branch, Dept Math, Math, PB Box 74135-355, Jahrom, Iran
[2] Islamic Azad Univ, Kermanshah Branch, Dept Math, Math, Kermanshah, Iran
关键词
Cyclic graph; toroidal; projective;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
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 S-3 X Z(2), D-14, QD(16) 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.
引用
收藏
页码:13 / 23
页数:11
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