HIGHLIGHTS
SUMMARY
Let X be the right-open and left-closed interval Œ0; 1Œ. The classical signature is well defined on Sfin and its kernel, denoted by Afin, is the only subgroup of index 2 in Sfin. The set of all permutations of X continuous outside a finite set is a subgroup denoted by PC‰. The subgroup of PC‰ consisting of all permutations of X that are piecewise isometric elements is denoted by IET‰ and the one consisting of all piecewise affine permutations of X is denoted by PAff‰. Each of these groups without the hat . . .
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