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
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.
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页码:3241 / 3244
页数:4
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