Limit groups as limits of free groups

@article{Champetier2004LimitGA,
  title={Limit groups as limits of free groups},
  author={Christophe Champetier and Vincent Guirardel},
  journal={Israel Journal of Mathematics},
  year={2004},
  volume={146},
  pages={1-75}
}
  • Christophe Champetier, Vincent Guirardel
  • Published 2004
  • Mathematics
  • Israel Journal of Mathematics
  • We give a topological framework for the study of Sela'slimit groups: limit groups are limits of free groups in a compact space of marked groups. Many results get a natural interpretation in this setting. The class of limit groups is known to coincide with the class of finitely generated fully residually free groups. The topological approach gives some new insight on the relation between fully residually free groups, the universal theory of free groups, ultraproducts and non-standard free groups… CONTINUE READING

    Figures from this paper.

    Citations

    Publications citing this paper.
    SHOWING 1-10 OF 104 CITATIONS

    LIMITS OF GENERALIZED QUATERNION GROUPS

    VIEW 5 EXCERPTS
    CITES BACKGROUND
    HIGHLY INFLUENCED

    Limits of Generalized Quaternion Groups

    VIEW 5 EXCERPTS
    CITES BACKGROUND
    HIGHLY INFLUENCED

    Equations over hyperbolic groups

    VIEW 4 EXCERPTS
    CITES BACKGROUND
    HIGHLY INFLUENCED

    Equations and Fully Residually Free Groups

    VIEW 5 EXCERPTS
    CITES METHODS & BACKGROUND
    HIGHLY INFLUENCED

    2 2 Ja n 20 07 Limits of ( Thompson ’ s ) group F

    VIEW 4 EXCERPTS
    CITES BACKGROUND & METHODS
    HIGHLY INFLUENCED

    FILTER CITATIONS BY YEAR

    2004
    2020

    CITATION STATISTICS

    • 8 Highly Influenced Citations

    • Averaged 7 Citations per year from 2017 through 2019