On generation problems in generalised Wilson type groups
arXiv:1412.7809
Abstract
We study a family of hereditarily just infinite profinite groups obtained by iterated wreath products introduced by J. Wilson in 2010. We find explicit generators for this family in a number of cases using combinatorial methods. We then discuss determination of the lower rank for this family. Finally we examine whether the groups in this family admit a finite profinite presentation.
This paper has been withdrawn by the author. To improve the exposition the results appear in two new separate papers by the author: "On Hereditarily Just Infinite Groups obtained via iterated wreath products" and "Finite Generation on Iterated Wreath Products in Product Action"