On the smallest non‐abelian quotient of Aut(Fn)
We show that the smallest non-abelian quotient of $\mathrm{Aut}(F_n)$ is $\mathrm{PSL}_n(\mathbb{Z}/2\mathbb{Z}) = \mathrm{L}_n(2)$, thus confirming a conjecture of Mecchia--Zimmermann. In the course of the proof we give an exponential (in $n$) lower bound for the cardinality of a set on which $\mat...
Main Authors: | , , |
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Format: | Journal article |
Language: | English |
Published: |
Wiley
2019
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