GROUPS WITH MANY NORMAL-BY-FINITE SUBGROUPS

Authors
FRANCIOSI S DEGIOVANNI F
Citation
S. Franciosi et F. Degiovanni, GROUPS WITH MANY NORMAL-BY-FINITE SUBGROUPS, Proceedings of the American Mathematical Society, 125(2), 1997, pp. 323-327
Citations number
12
Categorie Soggetti
Mathematics, General",Mathematics,Mathematics
Journal title
Proceedings of the American Mathematical Society → ACNP
ISSN journal
00029939
Volume
125
Issue
2
Year of publication
1997
Pages
323 - 327
Database
ISI
SICI code
0002-9939(1997)125:2<323:GWMNS>2.0.ZU;2-C
Abstract
A subgroup H of a group G is said to be normal-by-finite if the core H G of H in G has finite index in H. In this article groups satisfying t he minimal condition on subgroups which are not normal-by-finite and g roups with finitely many conjugacy classes of subgroups which are not normal-by-finite are characterized.