## Journal of Symbolic Logic

Yi Zhang

#### Abstract

We show that it is consistent with ZFC + $\neg$CH that there is a maximal cofinitary group (or, maximal almost disjoint group) G $\leq$ Sym($\omega$) such that G is a proper subset of an almost disjoint family A $\subseteq$ Sym($\omega$) and |G| < |A|. We also ask several questions in this area.

#### Article information

Source
J. Symbolic Logic, Volume 64, Issue 4 (1999), 1803-1810.

Dates
First available in Project Euclid: 6 July 2007

https://projecteuclid.org/euclid.jsl/1183745953

Mathematical Reviews number (MathSciNet)
MR1780085

Zentralblatt MATH identifier
0944.03049

JSTOR