On the divisible parts of quotient groups

Details On the divisible parts of quotient groups On the divisible parts of quotient groups

1993-10-05

arxiv.org/abs/math/9310210v1

Mathematics

Logic

Scientific paper

Techniques 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?

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