Amenable groups of finite Assouad-Nagata dimension satisfy Shalom's property H_FD and therefore admit a virtual homomorphism onto Z, so they are neither simple nor torsion.
Assouad, Sur la distance de Nagata , C
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
citation-role summary
background 1
citation-polarity summary
fields
math.GR 1years
2025 1verdicts
CONDITIONAL 1roles
background 1polarities
unclear 1representative citing papers
citing papers explorer
-
Finite dimensional amenable groups
Amenable groups of finite Assouad-Nagata dimension satisfy Shalom's property H_FD and therefore admit a virtual homomorphism onto Z, so they are neither simple nor torsion.