Low-dimensional linear representations of Aut Fn, n ≥ 3

Transactions of the American Mathematical Society

Volumn 352, Issue 3, 2000, Pages 1437-1451

  Potapchik, A ^a   Rapinchuk, A ^b  

^a UNIVERSITY OF WATERLOO   (Canada)

^b University of Virginia   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 22844454456     PISSN: 00029947     EISSN: None     Source Type: Journal    
DOI: 10.1090/s0002-9947-99-02293-x     Document Type: Article

References (15)

1. [BL] H. Bass, A. Lubotzky, Automorphisms of groups and of schemes of finite type, Israel J. Math., 44 (1983), 1-22. MR 84i:14031
2. [BMS] H. Bass, J. Milnor, and J-P. Serre, Solution of the congruence subgroup problem for SLn (3) and Sp2n (2), Publ. Math. IHES, 33 (1967), 59-137. MR 39:5574
3. [Bo] N. Bourbaki, Groupes et algèbres de Lie, Ch. 7-8, Paris, Hermann, 1974. MR 56:12077
4. [DF] J.L. Dyer, E. Formanek, The automorphism group of a free group is complete, J. London. Math. Soc., 11 (1975), 181-190. MR 52:588
5. [DP] D. Dokovic, V. P. Platonov, Low-dimensional representations of Aut FZ, Manuscripta Math., 89 (1996), 475-509. MR 97b:20052
6. [F] E. Formanek, Characterizing a free group in its automorphism group, J. Algebra, 133 (1990), 424-432. MR 92a:20034
7. [FuH] W. Fulton, J.Harris, Representation Theory, GTM 129, Springer 1991. MR 93a:20069
8. [JK] G. James, A. Kerber, The Representation Theory of the Symmetric Group, Encyclopedia of Mathematics and its Applications, 16, Addison-Wesley, 1981. MR 83k:20003
9. [LS] R. Lyndon, P. Schupp, Combinatorial Group Theory, Ergebnisse der Mathematik und ihrer Grenzegebiete, 89, Springer, 1977. MR 58:28182
10. [MKS] W. Magnus, A. Karrass, D. Solitar, Combinatorial Group Theory, 2nd ed., Dover Publications, 1976. MR 54:10423
11. [Ma] G.A. Margulis, Discrete Subgroups of Semisimple Lie Groups, Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge, 17, Springer, 1991. MR 92h:22021
12. [N] J. Nielsen, Die Isomorphismengruppe der freien Gruppen, Math. Ann., 91 (1924), 169-209.
13. [OV] A.L. Onishchik, E.B. Vinberg, Lie Groups and Algebraic Groups, Springer Series in Soviet Mathematics, Springer, 1990. MR 91g:22001
14. [Rl] A.S. Rapinchuk, n-dimensional linear representations of Autfn, and more, J. Algebra, 197 (1997), 146-152. MR 98k:20055
15. [R2] A.S. Rapinchuk, On the finite dimensional unitary representations of Kazhdan groups, Proc. AMS 127 (1999), 1555-1562. MR 99h:22004