Modular analogues of Jordan's theorem for finite linear groups

Journal fur die Reine und Angewandte Mathematik

Volumn , Issue 624, 2008, Pages 143-171

  Collins, Michael J ^a  

^a UNIVERSITY OF OXFORD   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 55249122269     PISSN: 00754102     EISSN: 00754102     Source Type: Journal    
DOI: 10.1515/CRELLE.2008.084     Document Type: Article

References (15)

1. M. Aschbacher, Finite Group Theory, Cambridge University Press, Cambridge 1986.
2. R. Brauer and W. Feit, An analogue of Jordan's theorem in characteristic p, Ann. Math. 84 (1966), 119-131.
3. M. J. Collins, Bounds for finite primitive complex linear groups, J. Algebra 319 (2008), 759-776.
4. M. J. Collins, On Jordan's theorem for complex linear groups, J. Group Th. 10 (2007), 411-423.
5. J. H. Conway, R. T. Curtis, S. P. Norton, R. A. Parker, R. A. Wilson, ATLAS of Finite Groups, Oxford University Press, Oxford and New York 1985.
6. L. E. Dickson, Representations of the general symmetric group as linear groups in finite and infinite fields, Trans. Amer. Math. Soc. 9 (1908), 121-148.
7. C. Jansen, Minimal degrees of faithful representations for sporadic groups and their covering groups, www.math.rwth-aachen.de/~MOC/mindeg.
8. C. Jansen, K. Lux, R. Parker, R. Wilson, An Atlas of Brauer Characters, Oxford University Press, Oxford 1995.
9. C. Jordan, Mémoire sur les equations différentielle linéaire à intégrale algébrique, J. reine angew. Math. 84 (1878), 89-215.
10. M. Larsen and R. Pink, Finite subgroups of algebraic groups, www.math.ethz.ch/~pink/publications.html.
11. R. Steinberg, Automorphisms of finite linear groups, Canad. J. Math. 12 (1960), 606-615.
12. R. Steinberg, Générateurs, relations et revêtements de groupes algébriques, Colloquium in Algebraic Groups, Brussels (1962), 113-127.
13. R. Steinberg, Endomorphisms of linear algebraic groups, Mem. Amer. Math. Soc. 80 (1968), 1-108.
14. A. Wagner, An observation on the degrees of projective representations of the symmetric and alternating group over an arbitrary group, Arch. Math. 29 (1977), 583-589.
15. B. Weisfeiler, Post-classification version of Jordan's theorem on finite linear groups, Proc. Nat. Acad. Sci. 81 (1984), 5278-5279.