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

共 50 条

[31] The p-rank of the reduction mod p of Jacobians and Jacobi sums
Alvarez, A.
INTERNATIONAL JOURNAL OF NUMBER THEORY, 2014, 10 (08) : 2097 - 2114
[32] DEGREE PROBLEMS - THE P-RANK IN P-SOLVABLE GROUPS
MANZ, O
BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 1985, 17 (NOV) : 545 - 548
[33] p-groups, p-rank, and semistable reduction of of curves
Yang, Yu
ALGEBRA & NUMBER THEORY, 2024, 18 (02)
[34] On the p-rank of the adjacency matrices of strongly regular graphs
Brouwer, A.E.
van Eijl, C.A.
Journal of Algebraic Combinatorics, 1992, 1 (04)
[35] p-Rank and semi-stable reduction of curves
Saidi, M
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1998, 326 (01): : 63 - 68
[36] Cohomology of Aut(Fn) in the p-rank two case
Jensen, CA
JOURNAL OF PURE AND APPLIED ALGEBRA, 2001, 158 (01) : 41 - 81
[37] The p-Rank of the Incidence Matrix of Intersecting Linear Subspaces
Peter Sin
Designs, Codes and Cryptography, 2004, 31 : 213 - 220
[38] The p-Rank of Tame Kernels of Pure Quintic Fields
Li, Yuanyuan
Zhou, Haiyan
Deng, Fei
Wu, Xia
ALGEBRA COLLOQUIUM, 2018, 25 (02) : 277 - 284
[39] p-Rank and semi-stable reduction of curves
Saidi, M.
Comptes Rendus De L'Academie Des Sciences. Serie I, Mathematique, 326 (01):
[40] Curves of Given p-rank with Trivial Automorphism Group
Achter, Jeffrey D.
Glass, Darren
Pries, Rachel
MICHIGAN MATHEMATICAL JOURNAL, 2008, 56 (03) : 583 - 592

← 1 2 3 4 5 →