FINITE QUOTIENTS OF THE AUTOMORPHISM GROUP OF A FREE GROUP

Authors
LANG ML LEUNG KH WONG YL
Citation
Ml. Lang et al., FINITE QUOTIENTS OF THE AUTOMORPHISM GROUP OF A FREE GROUP, Communications in algebra, 23(3), 1995, pp. 891-912
Citations number
4
Categorie Soggetti
Mathematics, Pure",Mathematics
Journal title
Communications in algebra → ACNP
ISSN journal
00927872
Volume
23
Issue
3
Year of publication
1995
Pages
891 - 912
Database
ISI
SICI code
0092-7872(1995)23:3<891:FQOTAG>2.0.ZU;2-6
Abstract
The automorphism group AutF(n) of a free group F-n of rank a acts on t he product of a copies of a group G by substituting a elements of G in to the words defining an automorphism of the free group. This gives ri se to an antihomomorphism from AutF(n) to a permutation group. We dete rmine this antihomomorphic image of AutF(n) when G is the semidirect p roduct Z(p) x Z(p).