Several Remarks on Groups of Automorphisms of Free Groups

Аннотация

Let \( \mathbb{G} \) be the group of automorphisms of a free group F_∞ of infinite order. Let ℍ be the stabilizer of the first m generators of F_∞. We show that the double cosets Γ_m = ℍ \ \( \mathbb{G} \)/ℍ admit a natural semigroup structure. For any compact group K, the semigroup Γ_m acts in the space L on the product of m copies of K. Bibliography: 20 titles.