A local approach to a class of locally finite groups

被引:1
作者
Ballester-Bolinches, A
Pedraza, T
机构
[1] Univ Valencia, Dept Algebra, E-46100 Valencia, Spain
[2] Univ Politecn Valencia, Dept Matemat Aplicada, Escuela Politecn Super Alcoy, Alicante, Spain
关键词
D O I
10.1017/S0004972700037400
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
This paper is devoted to the study of a class of generalised p-nilpotent groups in the universe,C of all radical locally finite groups satisfying min-q for every prime q. Some results of finite groups are extended and a characterisation of the injectors associated with this class is given.
引用
收藏
页码:45 / 56
页数:12
相关论文
共 15 条
[1]   On a class of generalized nilpotent groups [J].
Ballester-Bolinches, A ;
Pedraza, T .
JOURNAL OF ALGEBRA, 2002, 248 (01) :219-229
[2]   The fitting subgroup and some injectors of radical locally finite groups with min-p for all p [J].
Ballester-Bolinches, A ;
Pedraza, T .
COMMUNICATIONS IN ALGEBRA, 2003, 31 (01) :483-492
[3]   A Gaschutz-Lubeseder type theorem in a class of locally finite groups [J].
Ballester-Bolinches, A ;
Camp-Mora, S .
JOURNAL OF ALGEBRA, 1999, 221 (02) :562-569
[4]   A Bryce and Cossey type theorem in a class of locally finite groups [J].
Ballester-Bolinches, A ;
Camp-Mora, S .
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2001, 63 (03) :459-466
[5]   CERTAIN FITTING-CLASSES OF GROUPS WITH MIN-P FOR ALL P [J].
DIXON, MR .
ARCHIV DER MATHEMATIK, 1990, 54 (06) :521-532
[6]  
DIXON MR, 1994, SERIES ALGEBRA, V2
[7]  
Doerk K., 1992, DEGRUYTER EXPOSITION, V4, DOI [DOI 10.1515/9783110870138, 10.1515/9783110870138]
[8]  
IRANZO MJ, 1989, REND SEMIN MAT U PAD, V82, P233
[9]   CHIEF FACTORS OF FINITE-GROUPS WITH ORDER A MULTIPLE OF P [J].
LAFUENTE, J .
COMMUNICATIONS IN ALGEBRA, 1988, 16 (08) :1563-1580
[10]  
Robinson D.J.S., 1982, A Course in the Theory of Groups