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Miklós Schweitzer 1957- Problem 10

Source:

October 18, 2015
abstract algebragroup theorycollege contests

Problem Statement

10. An Abelian group GG is said to have the property (A)(A) if torsion subgroup of GG is a direct summand of GG. Show that if GG is an Abelian group such that nGnG has the property (A)(A) for some positive integer nn, then GG itself has the property (A)(A). (A. 13)
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