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arxiv: 2203.03102 · v3 · pith:7XSJPXFAnew · submitted 2022-03-07 · 🧮 math.AT · math.GR· math.GT

The free factor complex and the dualizing module for the automorphism group of a free group

Zachary Himes , Jeremy Miller , Sam Nariman , Andrew Putman This is my paper
classification 🧮 math.AT math.GRmath.GT
keywords freegroupcomplexdualizingfactormoduleansweringautomorphism
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Answering a question of Hatcher-Vogtmann, we prove that the top homology group of the free factor complex is not the dualizing module for $\text{Aut}(F_n)$, at least for $n = 5$.

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