Applications of Logic to Group Theory |
Common terms and phrases
absolute retract cardinality less cf(v cf(x Chapter choose class of free class of groups closed unbounded construction Corollary cyclic groups respectively Definition direct sum direct summand Doctor of Philosophy Eklof elements embedded equivalent factor of F free abelian group free algebra free factor free group free K-free-factor free product freely group G group of cardinality group of rank group theory Hence isomorphic k-generated free k-generated subgroup k-pure subgroup K-separable K₁ K₂ L-equivalent to free language of group least ordinal Lemma Let F limit ordinal Look-equivalent nk(n non-free group product of cyclic Proof properties read this thesis regular cardinal sentence which says set of free Shelah stationary strongly compact cardinal subalgebra subgroup is contained subgroup of G subset sum of cyclic Theorem 2.1 true unary weakly compact αλ βν γεν γ Εν Εσ νε νξ ξεκ ξσ στ ထာ