Quasi-automorphisms of the infinite rooted 2-edge-coloured binary tree
Brita E. A. Nucinkis
Royal Holloway, University of London, Egham, UKSimon St. John-Green
University of Southampton, UK
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Abstract
We study the group , the self-maps of the infinite -edge coloured binary tree which preserve the edge and colour relations at cofinitely many locations. We introduce related groups , , , and , prove that , , and are of type , and calculate finite presentations for them. We calculate the normal subgroup structure of all groups, the Bieri–Neumann–Strebel–Renz invariants of , and discuss the relationship of all groups with other generalisations of Thompson's groups.
Cite this article
Brita E. A. Nucinkis, Simon St. John-Green, Quasi-automorphisms of the infinite rooted 2-edge-coloured binary tree. Groups Geom. Dyn. 12 (2018), no. 2, pp. 529–570
DOI 10.4171/GGD/448