SUBGROUP NORMALITY DEGREES OF FINITE GROUPS II

被引：3

作者：

Farrokhi D G, M. ^{[1
]}

Saeedi, F. ^{[2
]}

机构：

[1] Ferdowsi Univ Mashhad, Dept Pure Math, Mashhad, Iran

[2] Islamic Azad Univ, Mashhad Branch, Dept Math, Mashhad, Iran

来源：

JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2012年 / 11卷 / 04期

关键词：

Finite group; subgroup normality degree; solvable and nilpotent groups; ELEMENTS;

D O I：

10.1142/S0219498812500818

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let P-N(G) be the set of all subgroup normality degrees of a given finite group G and P-N be the union over all P-N(G), where G ranges over all finite groups. It is shown that P-N boolean AND (1/2, 1] = {1/2 +1/2n} n >= 1 and structural results are given for finite groups G with min P-N(G) >= 2/3. Also it is proved that G is solvable if P*(N) (G) subset of (0, 1/2] or (3/10, 1), in which P*(N) (G) = P-N(G)\{1}.

引用

页数：8

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