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.
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页码：522 / 525
页数：4
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