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
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
收藏
页码:522 / 525
页数:4
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