For self-similar level-transitive groups with positive Hausdorff dimension in iterated wreath products, every nontrivial normal closed subgroup has full dimension; in general, counterexamples exist.
Title resolution pending
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.GR 1years
2025 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
On a question of Ab\'ert and Vir\'ag
For self-similar level-transitive groups with positive Hausdorff dimension in iterated wreath products, every nontrivial normal closed subgroup has full dimension; in general, counterexamples exist.