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Subgroups of the Group of Formal Power Series with the Big Powers Condition

Group Theory 2019-08-15 v1

Abstract

We study the structure of discrete subgroups of the group G[[r]]G[[r]] of complex formal power series under the operation of composition of series. In particular, we prove that every finitely generated fully residually free group is embeddable to G[[r]]G[[r]].

Keywords

Cite

@article{arxiv.1908.04918,
  title  = {Subgroups of the Group of Formal Power Series with the Big Powers Condition},
  author = {A. Brudnyi},
  journal= {arXiv preprint arXiv:1908.04918},
  year   = {2019}
}

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10 pages