AN UNCOUNTABLE FAMILY OF 3-GENERATED GROUPS WITH ISOMORPHIC PROFINITE COMPLETIONS Academic Article

abstract

• We construct an uncountable family of 3-generated residually finite just-infinite groups with isomorphic profinite completions. We also show that word growth rate is not a profinite property.

authors

• Nekrashevych, Volodymyr

published proceedings

• INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION

author list (cited authors)

• Nekrashevych, V.

citation count

• 2

complete list of authors

• Nekrashevych, Volodymyr

publication date

• February 2014

publisher

• World Scientific Publishing  Publisher

keywords

• Genus Of A Group
• Iterated Monodromy Groups
• Profinite Completion

Digital Object Identifier (DOI)

• 10.1142/S0218196714500039

start page

• 33

end page

• 46

volume

• 24

issue

• 1

URL

• http://dx.doi.org/10.1142/s0218196714500039