On the divisible parts of quotient groups

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/152869Techniques of combinatorial set theory are applied to the following algebraic problem. Suppose G is an abelian group such that, for all countable subgroups C, the divisible part of the quotient G/C is countable. What can one conclude about the size of the divisible part of G/K when the cardinality of the subgroup K is a given uncountable cardinal?LogicOn the divisible parts of quotient groupstext