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.
机构:
Tel Aviv Univ, Raymond & Beverly Sackler Fac Exact Sci, Sch Math Sci, IL-69978 Tel Aviv, IsraelTel Aviv Univ, Raymond & Beverly Sackler Fac Exact Sci, Sch Math Sci, IL-69978 Tel Aviv, Israel
Herzog, Marcel
Longobardi, Patrizia
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机构:
Univ Salerno, Dipartimento Matemat & Informat, I-84100 Salerno, ItalyTel Aviv Univ, Raymond & Beverly Sackler Fac Exact Sci, Sch Math Sci, IL-69978 Tel Aviv, Israel
Longobardi, Patrizia
Maj, Mercede
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机构:
Univ Salerno, Dipartimento Matemat & Informat, I-84100 Salerno, ItalyTel Aviv Univ, Raymond & Beverly Sackler Fac Exact Sci, Sch Math Sci, IL-69978 Tel Aviv, Israel
机构:
Yantai Univ, Sch Math & Informat Sci, Yantai 264005, Peoples R ChinaYantai Univ, Sch Math & Informat Sci, Yantai 264005, Peoples R China
Shi, J.
Wu, Z.
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机构:
Guangxi Univ, Xingjian Coll Sci & Liberal Arts, Nanning 530004, Peoples R ChinaYantai Univ, Sch Math & Informat Sci, Yantai 264005, Peoples R China
Wu, Z.
Hou, R.
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机构:
Yantai Univ, Sch Math & Informat Sci, Yantai 264005, Peoples R ChinaYantai Univ, Sch Math & Informat Sci, Yantai 264005, Peoples R China