Groups whose character degree graph has diameter three

被引：10

作者：

Casolo, Carlo ^{[1
]}

Dolfi, Silvio ^{[1
]}

Pacifici, Emanuele ^{[2
]}

Sanus, Lucia ^{[3
]}

机构：

[1] Univ Florence, Dipartimento Matemat & Informat U Dini, Viale Morgagni 67-A, I-50134 Florence, Italy

[2] Univ Milan, Dipartimento Matemat F Enriques, Via Saldini 50, I-20133 Milan, Italy

[3] Univ Valencia, Fac Matemat, Dept Matemat, E-46100 Valencia, Spain

来源：

ISRAEL JOURNAL OF MATHEMATICS | 2016年 / 215卷 / 02期

关键词：

SOLVABLE-GROUPS;

D O I：

10.1007/s11856-016-1387-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let G be a finite group, and let Delta(G) denote the prime graph built on the set of degrees of the irreducible complex characters of G. It is well known that, whenever Delta(G) is connected, the diameter of Delta(G) is at most 3. In the present paper, we provide a description of the finite solvable groups for which the diameter of this graph attains the upper bound. This also enables us to confirm a couple of conjectures proposed by M. L. Lewis.

引用

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页码：523 / 558

页数：36

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