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    Paper   IPM / M / 107
       School of Mathematics
      Title: On use of iterates of endomorphisms for constructing groups with specific properties
      Author(s):
    1 . R. I. Grigorchuk
    2 . M. J. Mamaghani
      Status: Published
      Journal: Mat. Stud.
      No.: 2
      Vol.: 8
      Year: 1997
      Pages: 198-206
      Supported by: IPM
      Abstract:
    We produce a new approach for constructing groups with unusual properties such for example as to have intermediate growth or to be amenable. It is based on the use of iterations of endomorphism of a group. The particular case of the construction is when one starts the limit procedure with nonhopfian group. The example of Baumslag-Solitar group is considered carefully.

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