Invariable Generation of Certain Branch Groups
Let G be a group. Then S⊆G is an invariable generating set of G if every subset S′ obtained from S by replacing each element with a conjugate is also a generating set of G. We investigate invariable generation among key examples of branch groups. In particular, we prove that all generating sets of the torsion Grigorchuk groups, of the branch Grigorchuk-Gupta-Sidki groups and of the torsion multi-E
