On the lattice of subgroups of the lamplighter group
On the lattice of subgroups of the lamplighter group
The techniques of modules and actions of groups on rooted trees are applied to study the subgroup structure and the lattice subgroup of lamplighter type groups of the form ℒ n,p = (ℤ/pℤ) n ≀ ℤ for n ≥ 1 and p prime. We completely characterize scale invariant structures on …