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On the Existence of Countable Unlimited Groups

  • N. M. Suchkov,
  • A. A. Shlepkin,
  • D. A. Taysnyov

摘要

Let $ G $ be the group of all limited permutations of the naturals  $ 𝕅 $ .In this paper, we prove that the additive group of the rationalsis not isomorphic to a subgroup of  $ G $ .