## “School of Mathematics”

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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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