Selvmordsforebygging - også i FN-styrkene?

ON THE ZECKENDORF FORM OF F^ I Fn

On the Multiplicative Order of Fn+1/fn modulo Fm

Here, we show that if s �∈ {1, 2, 4} is a fixed positive integer and m and n are coprime positive integers such that the multiplicative order of Fn+1/Fn modulo Fm is s, where Fk is the kth Fibonacci number, then m < 500s2.

Commensurations of Out(Fn)

Let Out(Fn) denote the outer automorphism group of the free group Fn with n > 3. We prove that for any finite index subgroup Γ < Out(Fn), the group Aut(Γ) is isomorphic to the normalizer of Γ in Out(Fn). We prove that Γ is co-Hopfian : every injective homomorphism Γ → Γ is surjective. Finally, we prove that the abstract commensurator Comm(Out(Fn)) is isomorphic to Out(Fn).

Right-angled Artin groups and Out(Fn) I: quasi-isometric embeddings

We construct quasi-isometric embeddings from right-angled Artin groups into the outer automorphism group of a free group. These homomorphisms are modeled on the homomorphisms into the mapping class group constructed by Clay, Leininger, and Mangahas in [CLM12]. Toward this goal, we develop tools in the free group setting that mirror those for surface groups and discuss various analogs of subsurf...

On Isomorphism Theorems of Fn -Polygroups

In this paper, the notion of fuzzy n-polygroups (Fn -polygroups) is introduced and some related properties are investigated. In this regards, the concepts of normal  F-subpolygroups and homomorphisms of Fn-polygroups are adopted. Also, the quotient of Fn-polygroups by defining regular relations are studied. Finally, the classical isomorphism theorems of groups are generalized to Fn-polygroups p...