On elements of prime-power index in finite groups

被引：7

作者：

Camina, Alan R. ^{[2
]}

Shumyatsky, Pavel ^{[1
]}

Sica, Carmela ^{[3
]}

机构：

[1] Univ Brasilia, Dept Math, BR-70919 Brasilia, DF, Brazil

[2] Univ E Anglia, Sch Math, Norwich NR4 7TJ, Norfolk, England

[3] Univ Salerno, Dipartimento Matemat & Informat, I-84084 Fisciano, SA, Italy

来源：

JOURNAL OF ALGEBRA | 2010年 / 323卷 / 02期

关键词：

Finite groups; Centralizers;

D O I：

10.1016/j.jalgebra.2009.09.005

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For an element x of a finite group G let Ind(G)(x) denote the index of C-G(x) in G. We prove that if Ind((a,b,x)) (x) is a prime-power for any a, b is an element of G. then Ind(G)(x) is a prime-power. (C) 2009 Elsevier Inc. All rights reserved.

引用

页码：522 / 525

页数：4

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