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Currently displaying 1 – 8 of 8

Order by Relevance | Title | Year of publication

On a theorem of Kontsevich.

Conant, James; Vogtmann, Karen — 2003

Algebraic & Geometric Topology

Homology stability for outer automorphism groups of free groups.

Hatcher, Allen; Vogtmann, Karen — 2004

Algebraic & Geometric Topology

Morita classes in the homology of automorphism groups of free groups.

Conant, James; Vogtmann, Karen — 2004

Geometry & Topology

Erratum to: Homology stability for outer automorphism groups of free groups.

Hatcher, Allan; Vogtmann, Karen; Wahl, Natalie — 2006

Algebraic & Geometric Topology

Rational Homology of Bianchi Groups.

Karen Vogtmann — 1985

Mathematische Annalen

Equivariant outer space and automorphisms of free-by-finite groups.

Karen Vogtmann; Sava Krstic — 1993

Commentarii mathematici Helvetici

The integral homology of SL2 and PSL2 of euclidean imaginary quadratic integers.

Joachim Schwermer; Karen Vogtmann — 1983

Commentarii mathematici Helvetici

The Dehn functions of $O u t (F_{n})$ and $A u t (F_{n})$

Martin R. Bridson; Karen Vogtmann — 2012

Annales de l’institut Fourier

For $n$ at least 3, the Dehn functions of $O u t (F_{n})$ and $A u t (F_{n})$ are exponential. Hatcher and Vogtmann proved that they are at most exponential, and the complementary lower bound in the case $n = 3$ was established by Bridson and Vogtmann. Handel and Mosher completed the proof by reducing the lower bound for $n$ bigger than 3 to the case $n = 3$ . In this note we give a shorter, more direct proof of this last reduction.

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