A minimal Cantor set in the space of 3-generated groups Conference Paper uri icon


  • We construct and study a family of 3-generated groups Dw parametrized by infinite binary sequences w. We show that two groups of the family are isomorphic if and only if the sequences are cofinal and that two groups cannot be distinguished by finite sets of relations. We show a connection of the family with 2-dimensional holomorphic dynamics. Springer Science + Business Media B.V. 2007.

published proceedings


author list (cited authors)

  • Nekrashevych, V.

citation count

  • 14

complete list of authors

  • Nekrashevych, Volodymyr

publication date

  • January 2007