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Permutation Groups and Covering Properties
Author(s) -
Zhang Yi
Publication year - 2001
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/s0024610700001575
Subject(s) - forcing (mathematics) , permutation (music) , permutation group , mathematics , combinatorics , set (abstract data type) , group (periodic table) , cyclic permutation , symmetric group , discrete mathematics , computer science , physics , mathematical analysis , quantum mechanics , acoustics , programming language
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.