Citation
M. Kojman et S. Shelah, UNIVERSAL ABELIAN-GROUPS, Israel Journal of Mathematics, 92(1-3), 1995, pp. 113-124
Citations number
9
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
ISSN journal
00212172
Volume
92
Issue
1-3
Year of publication
1995
Pages
113 - 124
Database
ISI
SICI code
0021-2172(1995)92:1-3<113:UA>2.0.ZU;2-T
Abstract
We examine the existence of universal elements in classes of infinite
abelian groups. The main method is using group invariants which are de
fined relative to club guessing sequences. We prove, for example: THEO
REM: For n greater than or equal to 2, there is a purely universal sep
arable p-group in aleph(n) if, and only if, 2(aleph 0) less than or eq
ual to aleph(n).