NILPOTENT SUBGROUPS OF CLASS 2 IN FINITE GROUPS

被引：2

作者：

Sabatini, Luca ^{[1
]}

机构：

[1] Univ Studi Firenze, Dipartimento Matemat & Informat U Dini, Viale Morgagni 67A, I-50134 Florence, Italy

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2022年 / 150卷 / 08期

关键词：

D O I：

10.1090/proc/15933

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that every finite group G of size at least 3 has a nilpotent subgroup of class at most 2 and size at least vertical bar G vertical bar(1/32 log log vertical bar G vertical bar). This answers a question of Pyber, and is essentially best possible.

引用

页码：3241 / 3244

页数：4

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