S-EMBEDDED SUBGROUPS OF FINITE GROUPS

被引：17

作者：

Guo, Wenbin ^{[1
,2
]}

Lu, Yi ^{[1
]}

Niu, Wenjuan ^{[1
]}

机构：

[1] Xuzhou Normal Univ, Xuzhou 221116, Peoples R China

[2] Univ Sci & Technol China, Hefei 230026, Peoples R China

来源：

ALGEBRA AND LOGIC | 2010年 / 49卷 / 04期

关键词：

finite group; permutable group; S-embedded subgroup; supersoluble group; p-nilpotent group; MAXIMAL-SUBGROUPS; SYLOW SUBGROUPS; C-NORMALITY;

D O I：

10.1007/s10469-010-9097-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A subgroup H of G is said to be S-embedded in G if G has a normal subgroup N such that HN is s-permutable in G and H boolean AND N <= H-sG, where HsG is the largest s-permutable subgroup of G contained in H. S-embedded subgroups are used to give novel characterizations for some classes of groups. New results are obtained and a number of previously known ones are generalized.

引用

页码：293 / 304

页数：12

共 22 条

[1]

ALSHEIKAHMAD A, 2004, ALGEBRA DISCRETE MAT, P9

[2] INFLUENCE OF PI-QUASINORMALITY ON MAXIMAL-SUBGROUPS OF SYLOW SUBGROUPS OF FITTING SUBGROUP OF A FINITE-GROUP [J].

ASAAD, M ;

RAMADAN, M ;

SHAALAN, A .

ARCHIV DER MATHEMATIK, 1991, 56 (06) :521-527

[3] On maximal subgroups of Sylow subgroups of finite groups [J].

Asaad, M .

COMMUNICATIONS IN ALGEBRA, 1998, 26 (11) :3647-3652

[4]

Deskins WE., 1963, MATH Z, V82, P125, DOI DOI 10.1007/BF01111801

[5]

Doerk K., 1992, De Gruyter Exp. Math., V4, pxiv + 891

[6]

GUO W, 2007, SIB MAT ZH, V48, P742

[7]

Guo W., 2008, J ALGEBRA DISCRETE S, V6, P95

[8] G-covering subgroup systems for the classes of supersoluble and nilpotent groups [J].

Guo, WB ;

Shum, KP ;

Skiba, A .

ISRAEL JOURNAL OF MATHEMATICS, 2003, 138 (1) :125-138

[9]

Guo WB, 2000, THEORY CLASSES GROUP

[10]

Guo WB, 2008, MANUSCRIPTA MATH, V127, P139, DOI 10.1007/s00229-008-0194-7

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