In virtually nilpotent groups, finite sets whose powers contain symmetric word balls of radius comparable to h are asymptotic approximate groups, along with a nonabelian semilinear-set version for some infinite sets.
Pansu, Croissance des boules et des g´ eod´ esiques ferm´ ees dans les nilvari´ et´ es,Ergodic Theory and Dynamical Systems3 (1983), 415–445
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.GR 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
On asymptotic approximate groups in nilpotent groups
In virtually nilpotent groups, finite sets whose powers contain symmetric word balls of radius comparable to h are asymptotic approximate groups, along with a nonabelian semilinear-set version for some infinite sets.