Recognising tensor products of matrix groups

International Journal of Algebra and Computation

Volumn 7, Issue 5, 1997, Pages 541-559

  Leedham Green, C R ^a   O'Brien, E A ^b  

^a QUEEN MARY UNIVERSITY OF LONDON   (United Kingdom)

^b UNIVERSITY OF AUCKLAND   (New Zealand)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0642279790     PISSN: 02181967     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218196797000241     Document Type: Article

References (21)

1. William W. Adams and Philippe Loustaunau (1994) An Introduction to Gröbner Bases, Graduate Studies in Math. 3, Amer. Math. Soc., New York.
2. M. Aschbacher (1984) "On the maximal subgroups of the finite classical groups", Invent. Math. 76, 469-514.
3. Wieb Bosma and John Cannon (1994) Handbook of MAGMA functions, School of Mathematics and Statistics, University of Sydney.
4. J. V. Brawley and L. Carlitz (1987) "Irreducibles and the composed product for polynomials over a finite field", Discrete Math. 65, 115-139.
5. Frank Celler and C. R. Leedham-Green (1997a) "A non-constructive recognition algorithm for the special linear and other classical groups", Groups and Computation II (DIMACS, 1995) Amer. Math. Soc. DIMACS Series, 28.
6. Frank Celler and C. R. Leedham-Green (1997b) "Calculating the order of an invertible matrix", Groups and Computation II (DIMACS, 1995) Amer. Math. Soc. DIMACS Series, 28.
7. Frank Celler, Charles R. Leedham-Green, Scott H. Murray, Alice C. Niemeyer and E. A. O'Brien (1995) "Generating random elements of a finite group", Comm. Algebra 23, 4931-4948.
8. J. H. Conway, R. T. Curtis, S. P. Norton, R. A. Parker and R. A. Wilson (1985) Atlas of Finite Groups, Clarendon Press, Oxford.
9. P. Diaconis and L. Saloff-Coste (1996) "Walks on generating sets of abelian groups", Probab. Theory Relat. Fields 105, 393-421.
10. S. P. Glasby (1995) "Tensor products of polynomials", University of Sydney School of Mathematics and Statistics Research Report 95-4.
11. Derek F. Holt, C. R. Leedham-Green, E. A. O'Brien and Sarah Rees (1996) "Testing matrix groups for primitivity", J. Algebra 184, 795-817.
12. Derek F. Holt and Sarah Rees (1994) "Testing modules for irreducibility", J. Austral. Math. Soc. Ser. A, 57, 1-16.
13. C. R. Leedham-Green and E. A. O'Brien (1997) "Tensor products are projective geometries", J. Algebra. 189, 514-528.
14. Klaus Lux, Jürgen Müller and Michael Ringe (1994) "Peakword condensation and submodule lattices: An application of the Meat-Axe", J. Symbolic Comput. 17, 529-544.
15. I. G. Macdonald (1995) Symmetric functions and Hall Polynomials, Oxford Mathematical Monographs, Clarendon Press, New York. 2nd edition.
16. Peter M. Neumann and Cheryl E. Praeger (1992) "A recognition algorithm for special linear groups", Proc. London Math. Soc. (3), 65, 555-603.
17. Alice C. Niemeyer and Cheryl E. Praeger (1997a) "A Recognition Algorithm for Classical Groups over Finite Fields", Proc. London Math. Soc. (3), to appear.
18. Alice C. Niemeyer and Cheryl E. Praeger (1997b) "Implementing a recognition algorithm for classical groups", Groups and Computation II (DIMACS, 1995), Amer. Math. Soc. DIMACS Series, 28.
19. R. A. Parker (1984) "The computer calculation of modular characters (the Meat-Axe)", M.D. Atkinson (Ed.), Computational Group Theory (Durham, 1982), pp. 267-274. Academic Press, London, New York.
20. Ruth Schwingel (1997) "The tensor product of polynomials", preprint.
21. Martin Schönert et al. (1994) GAP - Groups, Algorithms and Programming, Lehrstuhl D für Mathematik, RWTH Aachen.