Some properties on isologism of groups

Citation
Mrr. Moghaddam et Ar. Salemkar, Some properties on isologism of groups, J AUS MAT A, 68, 2000, pp. 1-9
Citations number
9
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS
ISSN journal
02636115 → ACNP
Volume
68
Year of publication
2000
Part
1
Pages
1 - 9
Database
ISI
SICI code
0263-6115(200002)68:<1:SPOIOG>2.0.ZU;2-L
Abstract
In this paper a necessary and sufficient condition will be given for groups to be nu-isologic, with respect to a given variety of groups nu. It is als o shown that every nu-isologism family of a group contains a nu-Hopfian gro up. Finally we show that if G is in the variety nu, then every V-covering g roup of G is a Hopfian group.