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ON 𝔛-SATURATED FORMATIONS OF FINITE GROUPS#.

Authors :
Ballester-Bolinches, A.
Calvo, Clara
Esteban-Romero, R.
Source :
Communications in Algebra; Apr2005, Vol. 33 Issue 4, p1053-1064, 12p
Publication Year :
2005

Abstract

In the paper, a Frattini-like subgroup associated with a class ?? of simple groups is introduced and analyzed. The corresponding ??-saturated formations are exactly the ??-local ones introduced by Förster. Our techniques are also useful to highlight the properties and behavior of ?-local formations. In fact, extensions and improvements of several results of Shemetkov are natural consequences of our study. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00927872
Volume :
33
Issue :
4
Database :
Complementary Index
Journal :
Communications in Algebra
Publication Type :
Academic Journal
Accession number :
17000379
Full Text :
https://doi.org/10.1081/AGB-200053809