A HALL-TYPE CLOSURE PROPERTY FOR CERTAIN FITTING-CLASSES

Authors
BRISON OJ
Citation
Oj. Brison, A HALL-TYPE CLOSURE PROPERTY FOR CERTAIN FITTING-CLASSES, Journal of the Australian Mathematical Society. Series A. Pure mathematics and statistics, 59, 1995, pp. 204-213
Citations number
12
Categorie Soggetti
Mathematics, General","Statistic & Probability",Mathematics,"Statistic & Probability
Journal title
Journal of the Australian Mathematical Society. Series A. Pure mathematics and statistics → ACNP
ISSN journal
02636115
Volume
59
Year of publication
1995
Part
2
Pages
204 - 213
Database
ISI
SICI code
0263-6115(1995)59:<204:AHCPFC>2.0.ZU;2-W
Abstract
A closure operation connected with Hall subgroups is introduced for cl asses of finite soluble groups, and it is shown that this operation ca n be used to give a criterion for membership of certain special Fittin g classes, including the so-called 'central-socle' classes.