121 citations · 441 across the 31 of their papers we have counts for
Showing 2010 · math.GRShow all
2 papers · 2 filters
math.GR2010
The Dehn functions of Out(F_n) and Aut(F_n)
Martin R. Bridson, Karen Vogtmann
For n > 2, the Dehn functions of Aut(F_n) and Out(F_n) are exponential. Hatcher and Vogtmann proved that they are at most exponential, and the complementary lower bound in the case…
math.GR2010
Abelian covers of graphs and maps between outer automorphism groups of free groups
Martin R. Bridson, Karen Vogtmann
We explore the existence of homomorphisms between outer automorphism groups of free groups Out(F_n) \to Out(F_m). We prove that if n > 8 is even and n \neq m \leq 2n, or n is odd a…