Triangles in the graph of conjugacy classes of normal subgroups

被引:2
|
作者
Beltran, Antonio [1 ]
Jose Felipe, Maria [2 ]
Melchor, Carmen [3 ]
机构
[1] Univ Jaume 1, Dept Matemat, Castellon de La Plana 12071, Spain
[2] Univ Politecn Valencia, Inst Univ Matemat Pura & Aplicada, E-46022 Valencia, Spain
[3] Univ Jaume 1, Dept Educ, Castellon de La Plana 12071, Spain
来源
MONATSHEFTE FUR MATHEMATIK | 2017年 / 182卷 / 01期
关键词
Finite groups; Conjugacy classes; Normal subgroups; Graphs; FINITE-GROUPS; UNION;
D O I
10.1007/s00605-015-0866-9
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Let G be a finite group and N a normal subgroup of G. We determine the structure of N when the graph , which is the graph associated to the conjugacy classes of G contained in N, has no triangles and when the graph consists in exactly one triangle.
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页码:5 / 21
页数:17
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