UNIVERSAL ABELIAN-GROUPS

被引:10
|
作者
KOJMAN, M [1 ]
SHELAH, S [1 ]
机构
[1] HEBREW UNIV JERUSALEM,INST MATH,IL-91904 JERUSALEM,ISRAEL
关键词
D O I
10.1007/BF02762072
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We examine the existence of universal elements in classes of infinite abelian groups. The main method is using group invariants which are defined relative to club guessing sequences. We prove, for example: THEOREM: For n greater than or equal to 2, there is a purely universal separable p-group in aleph(n) if, and only if, 2(aleph 0) less than or equal to aleph(n).
引用
收藏
页码:113 / 124
页数:12
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