Twisted first homology groups of the automorphism group of a free group |
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| Authors: | Takao Satoh |
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| Affiliation: | Graduate school of Mathematical Sciences, University of Tokyo, 3-8-1 Komaba, Tokyo 153-8914, Japan |
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| Abstract: | ![]()
The automorphism group  and outer automorphism group  of a free group Fn of rank n act on the abelianized group H of Fn and the dual group H* of H. The twisted first homology groups of  and  with coefficients in H and H* are calculated. |
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| Keywords: | Primary: 20J06 20F28 20F05 secondary: 57N05 57M05 |
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