An Explicit Generating Pair for Radu's Simple Tree Lattice
We give an explicit generating pair for the torsion-free infinite simple group in Corollary IV(ii) of Radu's paper on lattices in products of trees. In the notation of that presentation, the pair is x1*x3 and x1*y3. Only the first five displayed equations are needed: a short group calculation expresses every original generator in this pair. In particular, the minimum generator number of this specific group is two. We also give a two-generator presentation with seven defining equations. This excludes one concrete candidate for a finitely presented simple group that is not two-generated; it does not resolve the general existence question. This is an unrefereed preprint. No absolute priority or independent formal verification is claimed.
Authors
- Alper Ferudun
Publication Details
- Journal
- Zenodo (CERN European Organization for Nuclear Research)
- Published
- 2026-10-14
- DOI
- https://doi.org/10.5281/zenodo.23364043
- Primary Topic
- Geometric and Algebraic Topology
- Type
- preprint