Open AccessLow-dimensional linear representations of π΄π’π‘πΉ_{π},πβ₯3
Author(s) -
Alexander Potapchik,
Andrei S. Rapinchuk
Publication year - 1999
Publication title -
transactions of the american mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.798
H-Index - 100
eISSN - 1088-6850
pISSN - 0002-9947
DOI - 10.1090/s0002-9947-99-02293-x
Subject(s) - algorithm , artificial intelligence , annotation , computer science
We classify all complex representations of A u t F n , \mathrm {Aut} \: F_n, the automorphism group of the free group F n F_n ( n β₯ 3 ) , (n \geq 3), of dimension β€ 2 n β 2. \leq 2n - 2. Among those representations is a new representation of dimension n + 1 n + 1 which does not vanish on the group of inner automorphisms.