Finite groups with two relative subgroup commutativity degrees

被引：1

作者：

Lazorec, Mihai-Silviu ^{[1
]}

Tarnauceanu, Marius ^{[1
]}

机构：

[1] Alexandru Ioan Cuza Univ, Fac Math, Bd Carol 1,11, Iasi 700506, Romania

来源：

PUBLICATIONES MATHEMATICAE-DEBRECEN | 2019年 / 94卷 / 1-2期

关键词：

subgroup commutativity degree; relative subgroup commutativity degree; subgroup lattice; PROBABILITY; ELEMENTS;

D O I：

10.5486/PMD.2019.8290

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we show that there is an infinite number of finite groups with two relative subgroup commutativity degrees. Also, we indicate a sufficient condition such that a finite group has at least three relative subgroup commutativity degrees, and we prove that D-6 is the only finite dihedral group with two relative subgroup commutativity degrees. Finally, we study the density of the set containing all relative subgroup commutativity degrees of finite groups.

引用

页码：157 / 169

页数：13

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