Asymptotic results on modular representations of symmetric groups and almost simple modular group algebras

Journal of Algebra

Volumn 219, Issue 2, 1999, Pages 506-530

  Baranov, A A ^a   Kleshchev, A S ^b   Zalesskii, A E ^c  

^a INSTITUTE OF MATHEMATICS   (Belarus)

^b UNIVERSITY OF OREGON   (United States)

^c UNIVERSITY OF EAST ANGLIA   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033567790     PISSN: 00218693     EISSN: None     Source Type: Journal    
DOI: 10.1006/jabr.1999.7923     Document Type: Article

References (20)

1. A. A. Baranov and A. S. Kleshchev, Maximal ideals in modular group algebras of the finitary symmetric and alternating groups, Trans. Amer. Math. Soc. 351 (1999), 595-617.
2. C. Bessenrodt and J. B. Olsson, On residue symbols and the mullineux conjecture, J. Algebraic Combin. 7 (1998), 227-251.
3. K. Bonvalett, B. Hartley, D. S. Passman, and M. K. Smith, Group rings with simple augmentation ideals, Proc. Amer. Math. Soc. 56 (1976), 79-82.
4. R. Bryant and L. G. Kovacs, Tensor products of representations of finite groups, Bull. London Math. Soc. 4 (1972), 133-135.
5. C. Curtis and I. Reiner, "Methods of Representation Theory - With Applications to Finite Groups and Orders," Vol. I, Wiley, New York, 1990.
6. W. Feit, "The Representation Theory of Finite Groups," North-Holland, Amsterdam, 1982.
7. B. Ford and A. Kleshchev, A proof of the mullineux conjecture, Math. Z. 226 (1997), 267-308.
8. G. D. James, On the decomposition matrices of the symmetric groups, II, J. Algebra 43 (1976), 45-54.
9. G. D. James, "The representation theory of the symmetric groups," Lecture Notes in Mathematics, Vol. 682, Springer-Verlag, Berlin, 1978.
10. A. S. Kleshchev, Branching rules for modular representations of symmetric groups, II, J. Reine Angew. Math. 459 (1995), 163-212.
11. A. S. Kleshchev, Completely splittable representations of symmetric groups, J. Algebra 181 (1996), 584-592.
12. A. S. Kleshchev, On the decomposition numbers and branching coefficients for symmetric and special linear groups, Proc. London Math. Soc. (3) 75 (1997), 497-558.
13. G. Mullineux, Bijections of p-regular partitions and p-modular irreducibles of the symmetric groups, J. London Math. Soc. (2) 20 (1979), 60-66.
14. D. S. Passman, Semiprimitivity of group algebras of infinite simple groups of lie type, Proc. Amer. Math. Soc 121 (1994), 399-403.
15. D. S. Passman and A. E. Zalesskii, Semiprimitivity of group algebras of locally finite simple groups, Proc. London Math. Soc. (3) 67 (1993), 243-276.
16. Ch. Praeger and A. E. Zalesskii, Orbit lengths of permutation groups, and group rings of locally finite simple groups of alternating type, Proc. London Math. Soc. (3) 70 (1995), 313-335.
17. J. Sheth, Branching rules for two row partitions and applications to the inductive systems for symmetric groups, Comm. Algebra 27, No. 7 (1999), 3303-3316.
18. A. E. Zalesskii, Group rings of inductive limits of alternating groups, Leningrad Math. J. 2 (1991), 1287-1303.
19. A. E. Zalesskii, A simplicity condition of the augmentation ideal of the modular group algebras of locally finite groups, Ukrainian Math. J. 43 (1992), 1021-1024.
20. A. E. Zalesskii, Group rings of simple locally finite groups, in "Finite and Locally Finite Groups," pp. 219-246, Kluwer Academic, Dordrecht, 1995.