The cofinality of the infinite symmetric group and groupwise density-Reference-Cited by-同舟云学术

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The cofinality of the infinite symmetric group and groupwise density

Published:2003-12 Issue:4 Volume:68 Page:1354-1361
ISSN:0022-4812
Container-title:Journal of Symbolic Logic
language:en
Short-container-title:J. symb. log.

Author:

Brendle Jörg,Losada Maria

Abstract

AbstractWe show that g ≤ c(Sym(ω)) where g is the groupwise density number and c(Sym(ω)) is the cofinality of the infinite symmetric group. This solves (the second half of) a problem addressed by Thomas.

Publisher

Cambridge University Press (CUP)

Subject

Logic,Philosophy

Reference7 articles.

1. ISOLATING CARDINAL INVARIANTS

2. Unbounded families and the cofinality of the infinite symmetric group

3. Subgroups of Infinite Symmetric Groups

4. Groupwise density and the cofinality of the infinite symmetric group

Cited by 5 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. The cofinality of the symmetric group and the cofinality of ultrapowers;Israel Journal of Mathematics;2021-03-23

2. The minimal cofinality of an ultrapower of ω and the cofinality of the symmetric group can be larger than b+;The Journal of Symbolic Logic;2011-12

3. Measurable cardinals and the cofinality of the symmetric group;Fundamenta Mathematicae;2010

4. Groupwise density cannot be much bigger than the unbounded number;MLQ;2008-07

5. Cardinal invariants related to permutation groups;Annals of Pure and Applied Logic;2006-11

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