The automorphism group of a free group is not a $\textrm {CAT}(0)$ group
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- by S. M. Gersten PDF
- Proc. Amer. Math. Soc. 121 (1994), 999-1002 Request permission
Abstract:
If F is a finitely generated free group, then the group ${\operatorname {Aut}}(F)$, if ${\text {rank}}(F) \geq 3$, and ${\text {Out}}(F)$, if ${\text {rank}}(F) \geq 4$, are not isomorphic to a subgroup of a group which acts properly discontinuously and cocompactly on a 1-connected geodesic metric space satisfying Gromov’s condition ${\text {CAT}}(0)$.References
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Additional Information
- © Copyright 1994 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 121 (1994), 999-1002
- MSC: Primary 20F32; Secondary 20E05, 20F28, 53C23, 57M07
- DOI: https://doi.org/10.1090/S0002-9939-1994-1195719-9
- MathSciNet review: 1195719