Homology Stability for Outer Automorphism Groups of Free Groups

Hatcher, A., & Vogtmann, K. (2004). Homology Stability for Outer Automorphism Groups of Free Groups. Algebraic & Geometric Topology, 1253-1272.

Type

Journal article

Intellectual base

Primary research

Year

2004

DOI

10.2140/agt.2004.4.1253

Link

https://doi.org/10.2140/agt.2004.4.1253

Cited by

1 citation across 1 artifact.

Domain-specific

• Homological Stability
  • … of dimension at least two, suitable stabilization maps induce homology isomorphisms in degree-dependent ranges; modern results refine ranges, coefficients, and closed-manifold variants. For automorphism groups of free groups, stabilization by a free factor produces stable homology in ranges that grow with rank.

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