Groups covered by an infinite number of Abelian subgroups

Authors
Podoski, K
Citation
K. Podoski, Groups covered by an infinite number of Abelian subgroups, COMBINATORI, 21(3), 2001, pp. 413-416
Citations number
2
Categorie Soggetti
Mathematics,"Computer Science & Engineering
Journal title
COMBINATORICA
ISSN journal
02099683 → ACNP
Volume
21
Issue
3
Year of publication
2001
Pages
413 - 416
Database
ISI
SICI code
0209-9683(2001)21:3<413:GCBAIN>2.0.ZU;2-Q
Abstract
If a group G is covered by kappa Abelian subgroups (kappa an infinite cardi nal) then /G: Z(G)/ less than or equal to 2(kappa) and this estimate is sha rp. This answers a question of Faber, Laver and McKenzie.