On Classifying All Full Factorisations and Multiple-Factorisations of the Finite Almost Simple Groups

Journal of Algebra

Volumn 204, Issue 1, 1998, Pages 129-187

  Baddeley, Robert W ^a   Praeger, Cheryl E ^b  

^a UNIVERSITY OF LEICESTER   (United Kingdom)

^b UNIVERSITY OF WESTERN AUSTRALIA   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000912591     PISSN: 00218693     EISSN: None     Source Type: Journal    
DOI: 10.1006/jabr.1997.7275     Document Type: Article

References (25)

1. Aschbacher M. Finite Group Theory. Cambridge Studies in Advanced Mathematics. 10:1986;Cambridge Univ. Press, Cambridge.
2. R. W. Baddeley, C. E. Praeger, On primitive overgroups of quasiprimitive permutation groups, 1996/14, Dept. Maths. and Comp. Sci. University of Leicester, 1996.
3. R. W. Baddeley, C. E. Praeger, Quasiprimitive permutation groups preserving Cartesian decompositions.
4. Baumeister B. Factorisations of primitive permutation groups. J. Algebra. 194:1997;631-653.
5. Burton D. M. Elementary Number Theory. 1988;Brown, Dubuque.
6. Cameron P. J. Finite permutation groups and finite simple groups. Bull. London Math. Soc. 13:1981;1-22.
7. Carter R. W. Simple Groups of Lie Type. 1989;Wiley, London.
8. Conway J. H., Curtis R. T., Norton S. P., Parker R. A., Wilson R. A. Atlas of Finite Groups. 1985;Clarendon Press, Oxford.
9. Dickson L. E. Linear Groups with an Exposition of the Galois Field Theory. 1958;Dover, New York.
10. n) containing central elations or noncentered skew elations. Illinois J. Math. 19:1975;247-268.
11. Hall M. The Theory of Groups. 1959;Macmillan, New York.
12. Hering C., Liebeck M. W., Saxl J. The factorisations of the finite exceptional groups of Lie type. J. Algebra. 106:1987;517-527.
13. Huppert B. Endliche Gruppen I. 1967;Springer-Verlag, Berlin.
14. Ishikawa H. Über die Verteilung der Primzahlen. Sci. Rep. Tokyo Bunrika Daigaku Ser. A. 2:1934;27-40.
15. Kantor W. M., Liebler R. A. The rank 3 permutation representations of the finite classical groups. Trans. Amer. Math. Soc. 271:1982;1-71.
16. 8q. J. Algebra. 110:1987;173-242.
17. P. B. Kleidman, The Subgroup Structure of Some Finite Simple Groups, University of Cambridge, Cambridge, 1987.
18. Kleidman P. B., Liebeck M. W. The Subgroup Structure of the Finite Classical Groups. London Math. Soc. Lecture Notes. 129:1990;Cambridge Univ. Press, Cambridge.
19. Liebeck M. W., Saxl J. On the orders of maximal subgroups of the finite exceptional groups of Lie type. Proc. London Math. Soc. 55:1987;299-330.
20. M. W. Liebeck, C. E. Praeger, J. Saxl.
21. Liebeck M. W., Praeger C. E., Saxl J. The maximal factorisations of the finite simple groups and their automorphism groups. Mem. Amer. Math. Soc. 86:1990;432.
22. Mitchell H. H. The subgroups of the quaternary abelian linear group. Trans. Amer. Math. Soc. 15:1914;377-396.
23. Neumann P. M. Transitive permutation groups of prime degree. J. London Math. Soc. (2). 5:1972;202-208.
24. Wielandt H. Finite Permutation Groups. 1964;Academic Press, London.
25. Zsigmondy K. Zür Theorie der Potenzreste. Monatsh. Math. Phys. 3:1892;265-284.