Sylow permutable subnormal subgroups of finite groups II

被引:26
作者
Ballester-Bolinches, A
Esteban-Romero, R
机构
[1] Univ Valencia, Dept Algebra, E-46100 Burjassot, Valencia, Spain
[2] Univ Politecn Valencia, Dept Matemat Aplicada, E-46022 Valencia, Spain
关键词
D O I
10.1017/S0004972700019948
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper a local version of Agrawal's theorem about the structure of finite groups in which Sylow permutability is transitive is given. The result is used to obtain new characterisations of this class of finite groups.
引用
收藏
页码:479 / 486
页数:8
相关论文
共 13 条
[1]   FINITE-GROUPS WHOSE SUBNORMAL SUBGROUPS PERMUTE WITH ALL SYLOW SUBGROUPS [J].
AGRAWAL, RK .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1975, 47 (01) :77-83
[2]   Finite soluble groups with permutable subnormal subgroups [J].
Alejandre, MJ ;
Ballester-Bolinches, A ;
Pedraza-Aguilera, MC .
JOURNAL OF ALGEBRA, 2001, 240 (02) :705-722
[3]  
BALLESTERBOLINC.A, SYLOW PERMUTABLE SUB
[4]   Criteria for permutability to be transitive in finite groups [J].
Beidleman, JC ;
Brewster, B ;
Robinson, DJS .
JOURNAL OF ALGEBRA, 1999, 222 (02) :400-412
[5]  
BEIDLEMAN JC, FINITE SOLUBLE GROUP
[6]   THE WIELANDT SUBGROUP OF A FINITE SOLUBLE GROUP [J].
BRYCE, RA ;
COSSEY, J .
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 1989, 40 :244-256
[7]  
DOERK K, 1992, FINITE SOLUBLE GROUP, V4
[8]  
Gaschutz W., 1957, J REINE ANGEW MATH, V198, P87, DOI [DOI 10.1515/CRLL.1957.198.87, DOI 10.1515/CR11.1957.198.87]
[9]  
Kegel OH., 1962, MATH Z, V78, P205, DOI DOI 10.1007/BF01195169
[10]  
Lennox JC., 1987, Subnormal Subgroups of Groups