JournalsrmiVol. 36, No. 1pp. 61–78

Profinite extensions of centralizers and the profinite completion of limit groups

  • Pavel A. Zalesskiĭ

    Universidade de Brasília, Brazil
  • Theo A.D. Zapata

    Universidade de Brasília, Brazil
Profinite extensions of centralizers and the profinite completion of limit groups cover
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Abstract

We introduce and investigate a class of profinite groups defined via extensions of centralizers analogous to the extensively studied class of finitely generated fully residually free groups, that is, limit groups (in the sense of Z. Sela). From the fact that the profinite completion of limit groups belong to this class, results on their group-theoretical structure and homological properties are obtained.

Cite this article

Pavel A. Zalesskiĭ, Theo A.D. Zapata, Profinite extensions of centralizers and the profinite completion of limit groups. Rev. Mat. Iberoam. 36 (2020), no. 1, pp. 61–78

DOI 10.4171/RMI/1121