Geodesic
Quasi-automorphisms of the infinite rooted 2-edge-coloured binary tree
Brita E. A. Nucinkis1 ; Simon St. John-Green2
1Royal Holloway, University of London, Egham, UK
2University of Southampton, UK
Groups, geometry, and dynamics, Tome 12 (2018) no. 2, pp. 529-570

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DOI

We study the group QV, the self-maps of the infinite 2-edge coloured binary tree which preserve the edge and colour relations at cofinitely many locations. We introduce related groups QF, QT, Q​T, and Q​V, prove that QF, Q​T, and Q​V are of type F∞​, and calculate finite presentations for them. We calculate the normal subgroup structure of all 5 groups, the Bieri–Neumann–Strebel–Renz invariants of QF, and discuss the relationship of all 5 groups with other generalisations of Thompson's groups.
DOI : 10.4171/ggd/448
Classification : 20-XX
Mots-clés : Thompson’s group, finiteness properties, normal subgroups, Bieri–Neumann– Strebel–Renz invariants

Brita E. A. Nucinkis  1   ; Simon St. John-Green  2

1 Royal Holloway, University of London, Egham, UK
2 University of Southampton, UK 
Brita E. A. Nucinkis; Simon St. John-Green. Quasi-automorphisms of the infinite rooted 2-edge-coloured binary tree. Groups, geometry, and dynamics, Tome 12 (2018) no. 2, pp. 529-570. doi: 10.4171/ggd/448
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