A new computer construction of the irreducible 112-dimensional 2-modular representation of Janko's group J4

Communications in Algebra

Volumn 29, Issue 4, 2001, Pages 1773-1806

  Michler, Gerhard O ^a   Weller, Michael ^a  

^a UNIVERSITY OF DUISBURG ESSEN   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035534523     PISSN: 00927872     EISSN: None     Source Type: Journal    
DOI: 10.1081/AGB-100002132     Document Type: Article

References (20)

1. E. Bannai, T. Ito, Algebraic Combinatorics I, Association Schemes, Benjamin and Cummings Publishing Company, Menlo Park, California (1984).
2. 4. PhD. Thesis, Trinity College, Cambridge, 1980.
3. W. Bosma, J. Cannon, MAGMA Handbook. Sydney (1993).
4. G. Butler, Fundamental algorithms for permutation groups. Lect. Notes in Computer Science, Springer Verlag, Heidelberg (1991).
5. G. Cooperman, L. Finkelstein, M. Tselman, B. York, Constructing permutation representations for large matrix groups, J. Symbolic Computation 24 (1997), 471-488.
6. 4, in Proceedings of Euro-Conference "Computational methods for representations of groups and algebras" (ed. P. Dräxler, G. Michler, C.M. Ringel) Progress in Math., Birkhäuser Verlag, Basel (1999).
7. J.H. Conway, R.T. Curtis, S.P. Norton, R.A. Parker, R.A. Wilson, Atlas of finite groups. Clarendon Press, Oxford, 1985.
8. P. Fleischmann, G.O. Michler, P. Roelse, J. Rosenboom, R. Staszewski, C. Wagner, M. Weller, Linear algebra over small finite fields on parallel machines, Vorlesungen Fachbereich Math. Univ. Essen, Heft 23 (1995).
9. H.W. Gollan, A new existence proof for Ly, the sporadic group of R. Lyons., Preprint IEM Essen (1995).
10. D. Gorenstein, Finite simple groups, Plenum Press, New York (1982).
11. D. Gorenstein, R. Lyons, R. Solomon, The classification of the finite simple groups, Mathematical Surveys and Monographs 40, No. 2, American Mathematical Society, Providence, Rhode Island (1996).
12. A.A. Ivanov, S.A. Linton, K. Lux, J. Saxl, L.H. Soicher, Distance-transitive representations of the sporadic groups, Communications in Algebra 23, (1995), 3379-3427.
13. 22 as subgroups, J. Algebra 42 (1976), 564-596.
14. P. Landrock, Finite group algebras and their modules, Cambridge University Press, Cambridge (1983).
15. 4 in GL(1333, 11), Communications in Algebra, 21 (1993), 4311-4351.
16. G.O. Michler, High performance computations in group representation theory, in B.H. Matzat, G.M. Greuel, G. Hiss (eds.) Algorithmic algebra and number theory, Springer-Verlag, Heidelberg (1999), 399-415.
17. 4, Proceedings of Symposia in Mathematics AMS 37 (1980), 271-277.
18. M. Weller, Construction of large permutation representations for matrix groups, in Transactions of the High Performance Computing Center Stuttgart (HLRS) "High Performance Computing in Science and Engineering '98" (eds. E. Krause, W. Jäger), Springer Verlag, Heidelberg (1999), 430-452.
19. R.A. Wilson, Standard generators for sporadic simple groups, J. Algebra 184 (1996), 505-515.
20. R.A. Wilson, Atlas of finite group representations, http://www.mat.bham. ac.uk.atlas.