Automorphisms of Automorphism Groups of Free Groups

By Martin R. Bridson, Karen Vogtmann. 2000

46 citations recorded by the source corpus.

Subfields: Cultural Studies, Discrete Mathematics and Combinatorics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/6c058945e248c3d6065841013c1482b8073a5bbb

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Cultural Studies

1. E. Formanek
2. Martin R. Bridson
3. Karen Vogtmann

In Discrete Mathematics and Combinatorics

1. E. Formanek
2. Martin R. Bridson
3. Karen Vogtmann

In Geometry and Topology

1. E. Formanek
2. Martin R. Bridson
3. Karen Vogtmann
4. M. Bestvina
5. K. Fujiwara
6. K. Bromberg
7. Ilya Kapovich
8. Tatiana Nagnibeda

Citations in the corpus

• Automorphisms of Free Groups and Outer Space (2002, background): “By considering certain centralizers in Aut(Fn) and Out(Fn), Bridson and Vogtmann showed that for n ≥ 3, neither Aut(Fn) nor Out(Fn) can act on a CAT(0) space properly and cocompactly.”
• Semisimple actions of mapping class groups on CAT(0) spaces (2009, background): “Questions 13 and 14 of [BriV 2006] and Problem 6.”
• Commensurations of the Johnson kernel (2004, unknown): “The co-Hopfian property has been demonstrated for lattices in semisimple Lie groups by Prasad [25], torsion-free non-elementary freely indecomposable wordhyperbolic groups by Sela [26], Mod(S) by Ivanov and McCarthy [16], the braid group modulo its center by Bell and Margalit [1], and finite-index s”
• A question of B. Plotkin about the semigroup of endomorphisms of a free group (2001, background): “The centralizer of δ(F ) = gp〈x1〉 is gp〈x1〉 itself, so (1) implies that [T (δ)(a)]−1δ(a) ∈ gp〈x1〉 for all a ∈ F .”