Volume 18, issue 2 (2018)

Download this article
Download this article For screen
For printing
Recent Issues

Volume 18
Issue 5, 2509–3131
Issue 4, 1883–2507
Issue 3, 1259–1881
Issue 2, 635–1258
Issue 1, 1–633

Volume 17, 6 issues

Volume 16, 6 issues

Volume 15, 6 issues

Volume 14, 6 issues

Volume 13, 6 issues

Volume 12, 4 issues

Volume 11, 5 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 4 issues

Volume 7, 4 issues

Volume 6, 5 issues

Volume 5, 4 issues

Volume 4, 2 issues

Volume 3, 2 issues

Volume 2, 2 issues

Volume 1, 2 issues

The Journal
About the Journal
Subscriptions
Editorial Board
Editorial Interests
Editorial Procedure
Submission Guidelines
Submission Page
Author Index
To Appear
ISSN (electronic): 1472-2739
ISSN (print): 1472-2747
Euler characteristics and actions of automorphism groups of free groups

Shengkui Ye

Algebraic & Geometric Topology 18 (2018) 1195–1204
Abstract

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()) with n r + 2 on Mr by homeomorphisms is trivial. This confirms a conjecture related to Zimmer’s program for these manifolds.

Keywords
Zimmer's program, Euler characteristics, matrix group actions
Mathematical Subject Classification 2010
Primary: 57S20
Secondary: 57S17
References
Publication
Received: 15 August 2017
Revised: 25 September 2017
Accepted: 5 October 2017
Published: 12 March 2018
Authors
Shengkui Ye
Department of Mathematical Sciences
Xi’an Jiaotong-Liverpool University
Jiangsu
China
https://yeshengkui.wordpress.com/