Let π : Aut(Fn) → Aut(ℤn) be the epimorphism induced by the isomorphism and define . We prove that the subset of consisting of all non-irreducible with ...
Let π : Aut(Fn) → Aut(ℤn) be the epimorphism induced by the isomorphism and define . We prove that the subset of consisting of all non-irreducible with ...
Jun 23, 2011 · Introduction. Let Γ be a finitely generated group. A subset Σ ⊆ Γ is called admissible if it is symmetric (i.e. Σ = Σ−1) and the Cayley ...
A general sieve method for groups is formulated. It enables one to “measure” subsets of a finitely generated group. As an application we show that if Γ is a ...
Jun 23, 2011 · We prove that the subset of \mathcal{T}_n consists of all non-iwip and all non-hyperbolic elements is exponentially small. Comments: 8 pages.
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This article is a collection of a few interesting applications on finite groups and morphisms of groups, applications which already have been given to ...
Jun 26, 2015 · SIEVE METHODS IN GROUP THEORY III: Aut(Fn) 7. Proof. We use the notation of the previous section. Let ϕ∈ Tnbe iwip but not. hyperbolic.
Missing: FN). | Show results with:FN).
Let π : Aut(Fn) → Aut(ℤn) be the epimorphism induced by the isomorphism and define . We prove that the subset of consisting of all non-irreducible with ...
The non iwip and the non hyperbolic el- emnts of Aut(Fn) are exp. small subsets. Thm: (Lubotzky-Meiri). A similar result for. IA(Fn) = Ker(Aut(Fn) → GLn(Z)).
This method seems to be suitable for solving problems which are out of reach by the classical group theoretic methods. Applying this method to various groups of ...