关于商群的可除部分
On the divisible parts of quotient groups
摘要：
组合集合论的技术应用于以下代数问题。设G是一个阿贝尔群，使得对所有可数子群C，商G/C的可除部分是可数的。当子群K的基数是一个给定的不可数基数时，关于G/K的可除部分的大小，人们可以得出什么结论？
英文摘要：
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?
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
