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The infinite simple group V of Richard J Thompson : presentations by permutations

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Figure

Figure 1: The infinite binary rooted tree with nodes labelled by elementsof X∗
Figure 2: (i) α ⪯ β(and the paths representing elements of β C); and(ii) α ⊥ β
Figure 3: Two elements given by tree-pairs that generate for R. Thompson’sgroup V
Figure 4: The map t100,11 denoted using tree-pairs

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