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

abstract

• 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.

authors

• Nekrashevych, Volodymyr

published proceedings

• GEOMETRIAE DEDICATA

author list (cited authors)

• Nekrashevych, V.

citation count

• 14

complete list of authors

• Nekrashevych, Volodymyr

publication date

• January 2007

publisher

• Springer Nature  Publisher

published in

• Geometriae Dedicata  Journal

keywords

• Iterated Monodromy Groups
• Self-similar Groups
• Space Of Groups

Digital Object Identifier (DOI)

• 10.1007/s10711-006-9118-4

start page

• 153

end page

• 190

volume

• 124

issue

• 1

URL

• http://dx.doi.org/10.1007/s10711-006-9118-4