SUFFICIENT CONDITIONS FOR 2-NILPOTENCE OF A FINITE GROUP

被引：1

作者：

Berkovich, Yakov ^{[1
]}

机构：

[1] Univ Haifa, Dept Math, IL-31905 Haifa, Israel

来源：

JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2013年 / 12卷 / 04期

关键词：

Minimal nilpotent groups; Minimal nonabelian 2-subgroups; 2-nilpotent groups; FIXED ELEMENTS;

D O I：

10.1142/S0219498812501873

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove that if any cyclic 2'-subgroup of a finite group G centralizes all real 2-elements of order <= 4, then G is 2-nilpotent (Theorem 1). Some related results are proved. Minimal nonnilpotent groups and minimal nonabelian 2-groups play important role in our proof of those results.

引用

页数：7

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