On the p-rank of Ext

被引：6

作者：

Mekler, A

Roslanowski, A

Shelah, S

机构：

[1] Simon Fraser Univ, Dept Math, Burnaby, BC V5A 1S6, Canada

[2] Hebrew Univ Jerusalem, Inst Math, IL-91904 Jerusalem, Israel

[3] Univ Wroclaw, Inst Math, PL-50384 Wroclaw, Poland

[4] Rutgers State Univ, Dept Math, Piscataway, NJ 08854 USA

来源：

ISRAEL JOURNAL OF MATHEMATICS | 1999年 / 112卷 / 1期

关键词：

Inductive Hypothesis; Direct Summand; Cardinal Number; Regular Cardinal; Divisible Group;

D O I：

10.1007/BF02773487

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Assume V = L and lambda is regular smaller than the first weakly compact cardinal. Under those circumstances and with arbitrary requirements on the structure of Ext (G, Z) (under well known limitations), we construct an abelian group G of cardinality lambda such that for no G' subset of or equal to G, \G'\ < lambda is G/G' free and Ext (G, Z) realizes our requirements.

引用

页码：327 / 356

页数：30

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