A formula of subgroup normality degrees with applications to the finite p-groups with cyclic subgroups of index p2

被引：1

作者：

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

Takegahara, Yugen ^{[1
]}

机构：

[1] Muroran Inst Technol, 27-1 Mizumoto, Muroran, Hokkaido 0508585, Japan

来源：

JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2020年 / 19卷 / 04期

关键词：

Finite group; subgroup normality degree; p-group; ORDER P(M); CONTAIN;

D O I：

10.1142/S0219498820500735

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We give a formula for the subgroup normality degree P-N (H, G) of a subgroup H in a finite group G, and determine subgroup normality degrees in the case where G is a finite p-group of order p(5) or a finite p-group with a cyclic subgroup of index p(2).

引用

页数：27

共 23 条

[21] FINITE GROUPS WITH COMPLEMENTED 2-MINIMAL p-SUBGROUPS
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[22] Finite factorizable groups with solvable P2-subnormal subgroups
Kniahina, V. N.
Monakhov, V. S.
SIBERIAN MATHEMATICAL JOURNAL, 2013, 54 (01) : 56 - 63
[23] 2-Nilpotent Multiplier and 2-Capability of Finite 2-Generator p-Groups of Class Two
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Kaheni, Azam
MEDITERRANEAN JOURNAL OF MATHEMATICS, 2023, 20 (02)

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