We compute the homology groups H_*(Out(F_7;Q) of the outer automorphism group of the free group of rank 7. We produce in this manner the first rational homology classes of Out(F_n) that are neither constant (*=0) nor Morita classes (*=2n-4)
The automorphism group of a finitely generated free group is the normal closure of a single element ...
Stable homology of automorphism groups of free groups By Søren Galatius Homology of the group Aut(Fn...
1 Twisted homology group of the automorphism group of a free group Let Fn be a free group of rank n ...
Abstract. The observation that a graph of rank n can be assembled from graphs of smaller rank k with...
Let Fn be the free group on n letters and let Aut(Fn), Out(Fn) denote the automorphism group and the...
We compute the rational stable homology of the automorphism groups of free nilpotent groups. These g...
Following the work of Conant and Vogtmann on determining the homology of the group of outer automorp...
The holomorph of a free group Fn is the semidirect product FnoAut(Fn). Using the methods of Hatcher ...
We prove that the outer automorphism group of a free group of countably infinite rank is complete
Let Fm(var G) = Lm/I(G) be the relatively free Lie algebra of rank m in the variety of Lie algebras ...
Let Lm,c be the free metabelian nilpotent of class c Lie algebra of rank m over a field K of charact...
The main theorem of this document emulates, in the context of Out(F_r) theory, a mapping class group...
Abstract. Let Fn be a free group of rank n and FNn the quotient group of Fn by a subgroup [Γn(3),Γn(...
We calculate the rational cohomology of the classifying space of the diffeomorphism group of the man...
It is not known whether or not the stable rational cohomology groups H̃∗(Aut(F∞);Q) always vanish (s...
The automorphism group of a finitely generated free group is the normal closure of a single element ...
Stable homology of automorphism groups of free groups By Søren Galatius Homology of the group Aut(Fn...
1 Twisted homology group of the automorphism group of a free group Let Fn be a free group of rank n ...
Abstract. The observation that a graph of rank n can be assembled from graphs of smaller rank k with...
Let Fn be the free group on n letters and let Aut(Fn), Out(Fn) denote the automorphism group and the...
We compute the rational stable homology of the automorphism groups of free nilpotent groups. These g...
Following the work of Conant and Vogtmann on determining the homology of the group of outer automorp...
The holomorph of a free group Fn is the semidirect product FnoAut(Fn). Using the methods of Hatcher ...
We prove that the outer automorphism group of a free group of countably infinite rank is complete
Let Fm(var G) = Lm/I(G) be the relatively free Lie algebra of rank m in the variety of Lie algebras ...
Let Lm,c be the free metabelian nilpotent of class c Lie algebra of rank m over a field K of charact...
The main theorem of this document emulates, in the context of Out(F_r) theory, a mapping class group...
Abstract. Let Fn be a free group of rank n and FNn the quotient group of Fn by a subgroup [Γn(3),Γn(...
We calculate the rational cohomology of the classifying space of the diffeomorphism group of the man...
It is not known whether or not the stable rational cohomology groups H̃∗(Aut(F∞);Q) always vanish (s...
The automorphism group of a finitely generated free group is the normal closure of a single element ...
Stable homology of automorphism groups of free groups By Søren Galatius Homology of the group Aut(Fn...
1 Twisted homology group of the automorphism group of a free group Let Fn be a free group of rank n ...