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The Small Index Property For Free Nilpotent Groups
(TAYLOR & FRANCIS INC, 2015)
Let F be a relatively free algebra of infinite rank x.We say that F has the small index property if any subgroup of Gamma = Aut(F) of index at most x contains the pointwise stabilizer Gamma(U) of a subset U of F of cardinality ...
On the outer automorphism groups of free groups
(Elsevier, 2014)
We prove that the outer automorphism group of a free group of countably infinite rank is complete.