Representations of the symmetric group are reducible over simply transitive subgroups

Mathematische Zeitschrift

Volumn 235, Issue 1, 2000, Pages 99-109

  Kleshchev, A S ^a   Sheth, J K ^a  

^a UNIVERSITY OF OREGON   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0040188311     PISSN: 00255874     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002090000125     Document Type: Article

References (18)

1. M. Aschbacher, On the maximal subgroups of the finite classical groups, Invent. Math. 76 (1984), 469-514
2. C. Bessenrodt and J.B. Olsson, On residue symbols and the Mullineux conjecture, J. Algebraic Combin. 7 (1998), 227-251
3. J. Brundan and A.S. Kleshchev, Representations of the symmetric group which are irreducible over subgroups, preprint, University of Oregon, 1999
4. J. D. Dixon and B. Mortimer, Permutation groups. Graduate Texts in Mathematics, 163, Springer-Verlag, New York, 1996
5. k) generated by a conjugacy class of a fixed point free element of order 3, in preparation
6. B. Ford, Irreducible restrictions of representations of the symmetric groups, Bull. London Math. Soc. 27 (1995), 453-459
7. B. Ford and A. Kleshchev, A proof of the Mullineux Conjecture, Math. Z. 226 (1997), 267-308
8. G. D. James, The Representation Theory of the Symmetric Groups, volume 682 of Lecture Notes in Mathematics, Springer, New York/Heidelberg/Berlin, 1978
9. G. D. James, On the minimal dimensions of irreducible representations of symmetric groups, Math. Proc. Camb. Phil. Soc. 94 (1983), 417-424
10. G. James and A. Kerber, The representation theory of the symmetric group, Addison-Wesley, London, 1981
11. J. C. Jantzen and G. M. Seitz, On the representation theory of the symmetric groups, Proc. London Math. Soc. (3) 65 (1992), 475-504
12. W. M. Kantor, k-homogeneous groups, Math. Z. 124 (1972), 261-265
13. P. Kleidman and M. Liebeck, The subgroup structure of the finite classical groups, London Mathematical Society Lecture Note Series, 129, Cambridge, Cambridge University Press
14. A. S. Kleshchev, On restrictions of irreducible modular representations of semisimple algebraic groups and symmetric groups to some natural subgroups, I Proc. London Math. Soc. (3) 69 (1994), 515-540
15. n in characteristic 2 with the 3-cycles fixed-point-free, Quart. J. Math. Oxford (2) 29 (1978), 199-212
16. J. Saxl. The complex characters of the symmetric groups that remain irreducible in subgroups, J. Algebra 111 (1987), 210-219
17. n over a field of characteristic 2, Math. Z. 151 (1976), 127-137
18. n over a field of odd characteristic, Math. Z. 154 (1977), 103-114