CONJUGACY CLASSES OF N-ELEMENTS AND NILPOTENT/ABELIAN HALL N-SUBGROUPS

被引：3

作者：

Hung, Nguyen N. ^{[1
]}

Maroti, Attila ^{[2
]}

Martinez, Juan ^{[3
]}

机构：

[1] Univ Akron, Buchtel Coll Arts & Sci, Dept Math, Akron, OH 44325 USA

[2] Hungarian Acad Sci, Alfred Reny Inst Math, Budapest, Hungary

[3] Univ Valencia, Dept Matemat, Valencia, Spain

来源：

PACIFIC JOURNAL OF MATHEMATICS | 2023年 / 323卷 / 01期

基金：

欧洲研究理事会;

关键词：

finite classes; sr-elements; Hall; PROBABILITY; NUMBERS;

D O I：

10.2140/pjm.2023.323.185

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let G be a finite group and N be a set of primes. We study finite groups with a large number of conjugacy classes of N-elements. In particular, we obtain precise lower bounds for this number in terms of the N-part of the order of G to ensure the existence of a nilpotent or abelian Hall N-subgroup in G.

引用

页码：185 / 204

页数：21

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