The McKay conjecture and Galois automorphisms

Annals of Mathematics

Volumn 160, Issue 3, 2004, Pages 1129-1140

  Navarro, Gabriel ^a  

^a UNIVERSITY OF VALENCIA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 21644433868     PISSN: 0003486X     EISSN: None     Source Type: Journal    
DOI: 10.4007/annals.2004.160.1129     Document Type: Article

References (15)

1. J. H. CONWAY, R. R. CURTIS, S. P. NORTON, R. A. PARKER, and R. A. WILSON, Atlas of Finite Groups, Clarendon Press, Oxford, 1985.
2. E. C. DADE, Blocks with cyclic defect groups, Ann. of Math. 84 (1966), 20-48.
3. _, Counting characters in blocks with cyclic defect groups. I, J. Algebra 186 (1996), 934-969.
4. E. C. DADE, private communication.
5. W. FEIT, The Representation Theory of Finite Groups, North-Holland Publ. Co., New York, 1982.
6. _, Possible Brauer trees, Illinois J. Math. 28 (1984), 43-56.
7. THE GAP GROUP, GAP: Groups, Algorithms, and Programming, Version 4.2, 2000; http://www.gap-system.org
8. R. Gow, Characters of solvable groups induced by linear characters of Hall subgroups, Arch. Math. (Basel) 40 (1983), 232-237.
9. I. M. ISAACS, Characters of solvable and symplectic groups, Amer. J. Math. 95 (1973), 594-635.
10. _, Character Theory of Finite Groups, Dover, New York, 1994.
11. I. M. ISAACS and G. NAVARRO, New refinements of the Mckay conjecture for arbitrary finite groups, Ann. of Math. 156 (2002), 333-344.
12. S. LANG, Algebraic Number Theory, Springer-Verlag, New York, 1994.
13. G. NAVARRO, Characters and Blocks of Finite Groups, London Math. Soc. Lecture Note Series 250, Cambridge University Press, Cambridge, 1998.
14. TH. OSTERMANN, Charaktertafeln von Sylownormalisatoren sporadischer einfacher gruppen, Vorlesungen aus dem Fachbereich Mathematik der Universität GH Essen 14, Universität Essen, Essen, 1986.
15. R. R. WILSON, The McKay conjecture is true for the sporadic simple groups, J. Algebra 207 (1998), 294-305.