Positive laws in finite groups admitting a dihedral group of automorphisms

被引：0
作者：
de Melo, Emerson [1 ]
机构：
[1] Univ Brasilia, Dept Math, BR-70910900 Brasilia, DF, Brazil
来源：
JOURNAL OF GROUP THEORY | 2013年 / 16卷 / 05期
关键词：
FIXED-POINTS; LIE-ALGEBRAS; SUBGROUPS;
D O I：
10.1515/jgt-2013-0009
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Suppose that G is a finite group that admits a dihedral group of automorphisms D = <alpha, beta > generated by two involutions alpha and beta such that C-G(alpha beta) = 1. It is proved that if C-G(alpha) and C-G(beta) satisfy a positive law of degree k, then G satisfies a positive law of degree that is bounded solely in terms of k and vertical bar D vertical bar.
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页码：767 / 778
页数：12
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