On p-subnormal subgroups of finite p-soluble groups

被引：0

作者：

Gómez-Fernández, M ^{[1
]}

机构：

[1] Univ Publ Navarra, Dept Math & Informat, Pamplona 31006, Spain

来源：

PUBLICATIONES MATHEMATICAE-DEBRECEN | 2001年 / 58卷 / 03期

关键词：

p-subnormal subgroup; p-quasinormal subgroup; p-subnormalizer of a subgroup;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we present some results for p-subnormal subgroups (concept introduced by KEGEL in [6]). These statements are analogous to some well-known results for subnormal subgroups, mainly due to Wielandt, and they hold in all p-soluble groups. Nevertheless, since the set of all p-subnormal subgroups of a group fails to be a lattice new arguments have to be used.

引用

页码：537 / 547

页数：11

共 9 条

[1] [Anonymous], ENDLICHE GRUPPEN 1
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[3] DOERK K, 1992, FINITE SOLUBLE GROUP, V4
[4] Finite groups in which all p-subnormal subgroups form a lattice
Ezquerro, LM
GomezFernandez, M
[J]. ARCHIV DER MATHEMATIK, 1997, 68 (01) : 1 - 6
[5] GURALNICK R, 1993, P LOND MATH SOC, V66, P129
[6] Kegel OH., 1962, MATH Z, V78, P205, DOI DOI 10.1007/BF01195169
[7] A PROOF OF THE KEGEL-WIELANDT CONJECTURE ON SUBNORMAL SUBGROUPS
KLEIDMAN, PB
[J]. ANNALS OF MATHEMATICS, 1991, 133 (02) : 369 - 428
[8] LENNOX JC, 1987, OXFORD MATH MONOGRAP
[9] WIELANDT H, 1980, P SYMP PURE MATH, V37, P161

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