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TWISTED FIRST HOMOLOGY GROUP OF THE AUTOMORPHISM GROUP OF A FREE GROUP (Perspectives of Hyperbolic Spaces II)
隆夫 佐藤
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Abstract
The automorphism group Aut $F_{n}$ and the outer automorphism group Out $F_{n}$ of a free group $F_{n}$ of rank $n$ act on the abelianized group $H$ of $F_{n}$ and the dual group $H^{*}$ of $H$ .The twisted first homology groups of Aut $F_{n}$ and Out $F_{n}$ with coefficients in $H$ and $H^{*}$ are calculated.
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