Geodesic
Euler characteristics and actions of automorphism groups of free groups
Ye, Shengkui1
1 Department of Mathematical Sciences, Xi’an Jiaotong-Liverpool University, Jiangsu, China
Algebraic and Geometric Topology, Tome 18 (2018) no. 2, pp. 1195-1204

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

Let Mr be a connected orientable manifold with the Euler characteristic χ(M)≢0mod6. Denote by SAut(Fn) the unique subgroup of index two in the automorphism group of a free group. Then any group action of SAut(Fn) (and thus the special linear group SLn(ℤ)) with n ≥ r + 2 on Mr by homeomorphisms is trivial. This confirms a conjecture related to Zimmer’s program for these manifolds.

DOI : 10.2140/agt.2018.18.1195
Classification : 57S20, 57S17
Keywords: Zimmer's program, Euler characteristics, matrix group actions

Ye, Shengkui 1

1 Department of Mathematical Sciences, Xi’an Jiaotong-Liverpool University, Jiangsu, China 
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Ye, Shengkui. Euler characteristics and actions of automorphism groups of free groups. Algebraic and Geometric Topology, Tome 18 (2018) no. 2, pp. 1195-1204. doi: 10.2140/agt.2018.18.1195

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