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PERMUTATION GROUPS AND COVERING PROPERTIES

Published online by Cambridge University Press:  19 March 2001

YI ZHANG
YI ZHANG
Affiliation:
Department of Mathematics and Computer Science, Istanbul Bilgi University, Kustepe, Sisli 80310, Istanbul, Turkey; [email protected] Institute of Mathematics, Academia Sinica, Beijing 100080, China
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Abstract

The paper considers the possible cardinalities of maximal cofinitary groups and the cofinalities of permutation groups on the set of natural numbers. These two cardinals are compared with some other well-known cardinal invariants which are related to covering properties in several forcing models. An application of combinatorial group theory to a construction of a forcing partially ordered set is presented.

Type
Research Article
Information
Journal of the London Mathematical Society , Volume 63 , Issue 1 , February 2001 , pp. 1 - 15
Copyright
The London Mathematical Society 2001

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Footnotes

This research is partially supported by a grant from the Chinese Climbing Project Foundation for Natural Science and CNSF-66573037.