NILPOTENT SUBGROUPS OF CLASS 2 IN FINITE GROUPS

被引：3

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

共 8 条

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[2]

Erdos P., 1975, LINEAR MULTILINEAR A, V3, P307, DOI [10.1080/03081087608817122, DOI 10.1080/03081087608817122]

[3]

Hall P, 1934, P LOND MATH SOC, V36, P29

[4] NILPOTENT SUBGROUPS OF FINITE SOLUBLE GROUPS [J].