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math.GR2002
The groups of Richard Thompson and complexity
Jean-Camille Birget
We prove new results about the remarkable infinite simple groups introduced by Richard Thompson in the 1960s. We define the groups as partial transformation groups and we give a fa…
math.GR2002
Functions on groups and computational complexity
Jean-Camille Birget
We give some connections between various functions defined on finitely presented groups (isoperimetric, isodiametric, Todd-Coxeter radius, filling length functions, etc.), and we s…