The Dehn functions of Out(Fn) and Aut(Fn)
Abstract
For n > 2, the Dehn functions of Aut(Fn) and Out(Fn) are exponential. Hatcher and Vogtmann proved that they are at most exponential, and the complementary lower bound in the case n=3 was established by Bridson and Vogtmann. Handel and Mosher completed the proof by reducing the lower bound for n>4 to the case n=3. In this note we give a shorter, more direct proof of this last reduction.
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