In this paper we show that it is consistent with ZFC that the cardinality of every maximal cofinitary group of Sym(\omega) is strictly greater than the cardinal numbers \mathfrak{o} and \mathfrak{a}.
Publié le : 2001-09-14
Classification:
03E35,
20A15,
20B07,
20B35
@article{1183746558,
author = {Hrusak, Michael and Steprans, Juris and Zhang, Yi},
title = {Cofinitary Groups, almost Disjoint and Dominating Families},
journal = {J. Symbolic Logic},
volume = {66},
number = {1},
year = {2001},
pages = { 1259-1276},
language = {en},
url = {http://dml.mathdoc.fr/item/1183746558}
}
Hrusak, Michael; Steprans, Juris; Zhang, Yi. Cofinitary Groups, almost Disjoint and Dominating Families. J. Symbolic Logic, Tome 66 (2001) no. 1, pp. 1259-1276. http://gdmltest.u-ga.fr/item/1183746558/