Gaps in probabilities of satisfying some commutator-like identities

被引：4

作者：

Delizia, Costantino ^{[1
]}

Jezernik, Urban ^{[2
]}

Moravec, Primoz ^{[3
]}

Nicotera, Chiara ^{[1
]}

机构：

[1] Univ Salerno, Dipartimento Matemat, Via Giovanni Paolo II 132, I-84084 Fisciano, Italy

[2] Univ Basque Country, Dept Matemat, Apartado 644, Bilbao 48080, Spain

[3] Univ Ljubljana, Fac Math & Phys, Jadranska Ulica 19, SI-1000 Ljubljana, Slovenia

来源：

ISRAEL JOURNAL OF MATHEMATICS | 2020年 / 237卷 / 01期

基金：

欧盟地平线“2020”;

关键词：

D O I：

10.1007/s11856-020-1999-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that there is a positive constant delta < 1 such that the probability of satisfying either the 2-Engel identity [X-1, X-2, X-2] = 1 or the metabelian identity [[X-1, X-2], [X-3, X-4]] = 1 in a finite group is either 1 or at most delta

引用

页码：115 / 140

页数：26

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