Finite groups whose noncentral class sizes have the same p-part for some prime p

被引：12

作者：

Casolo, Carlo ^{[1
]}

Dolfi, Silvio ^{[1
]}

Jabara, Enrico ^{[2
]}

机构：

[1] Univ Florence, Dipartimento Matemat U Dini, I-50134 Florence, Italy

[2] Univ Ca Foscari, Dipartimento Matemat Applicata, I-30123 Venice, Italy

来源：

ISRAEL JOURNAL OF MATHEMATICS | 2012年 / 192卷 / 01期

关键词：

CONJUGACY CLASS SIZES; CHARACTER DEGREES; SUBGROUPS;

D O I：

10.1007/s11856-012-0022-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We describe the structure of the finite groups in which the sizes of noncentral conjugacy classes have the same p-part, for some prime p. We prove that they are solvable, they have a normal p-complement and their Fitting length is at most three.

引用

页码：197 / 219

页数：23

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