New refinements of the McKay conjecture for arbitrary finite groups

Annals of Mathematics

Volumn 156, Issue 1, 2002, Pages 333-344

  Isaacs, I M ^a   Navarro, Gabriel ^b  

^a UNIVERSITY OF WISCONSIN MADISON   (United States)

^b UNIVERSITY OF VALENCIA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0036662555     PISSN: 0003486X     EISSN: None     Source Type: Journal    
DOI: 10.2307/3597192     Document Type: Article

References (11)

1. J.L. Alperin, The main problem of block theory, Proc. of the Conference on Finite Groups (Univ. of Utah, Park City, Utah, 1975), 341-356, Academic Press, New York, 1976.
2. M. Broué Isométries parfaites, types de blocs, catégories dérivées, Astérisque 181-182 (1990), 61-92.
3. E.C. Dade, Blocks with cyclic defect groups, Ann. of Math. 84 (1966), 20-48.
4. P. Fong, The Isaacs-Navarro conjecture for symmetric groups, J. Algebra, to appear.
5. P. Fong and B. Srinivasan, The blocks of finite general linear and unitary groups, Invent. Math. 69 (1982), 109-153.
6. I.M. Isaacs, Characters of solvable and symplectic groups, Amer. J. Math. 95 (1973), 594-635.
7. _, Character Theory of Finite Groups, Dover Publ. Inc., New York, 1994.
8. I.M. Isaacs and G. Navarro, Characters of p'-degree of p-solvable groups, J. Algebra, 246 (2001), 394-413.
9. J. McKay, A new invariant for simple groups, Notices Amer. Math. Soc. 18 (1971), 397.
10. _, Irreducible representations of odd degree, J. Algebra 20 (1972), 416-418.
11. R.A. Wilson, The McKay conjecture is true for the sporadic simple groups, J. Algebra 207 (1998), 294-305.