|
|||||
|
|
Linear Representations of the Automorphism Group of a Free Group |
|
| Authors: | Fritz Grunewald Alexander Lubotzky |
| Institution: | 1. Mathematisches Institut, Heinrich-Heine-Universit?t, D-40225, Düsseldorf, Germany 2. Einstein Institute of Mathematics, The Hebrew University of Jerusalem, Jerusalem, 91904, Israel |
| Abstract: | Let F n be the free group on n ≥ 2 elements and Aut(F n ) its group of automorphisms. In this paper we present a rich collection of linear representations of Aut(F n ) arising through the action of finite-index subgroups of it on relation modules of finite quotient groups of F n . We show (under certain conditions) that the images of our representations are arithmetic groups. Received: November 2006, Accepted: March 2007 |
| Keywords: | and phrases:" target="_blank"> and phrases: Automorphism groups of free groups linear representations relation modules |
| 本文献已被 SpringerLink 等数据库收录！ | |