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}.
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页数：8
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