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Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.78.

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The structure of the projective indecomposable modules of the Suzuki group $\textrm {Sz}(8)$ in characteristic $2$
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by Gerhard J. A. Schneider PDF
Math. Comp. 60 (1993), 779-786 Request permission

Abstract:

This paper describes the socle series of the projective indecomposable modules and of tensor products of simple modules for the simple group ${\text {Sz}}(8)$ in characteristic 2. The results have been obtained by computational means and the various steps are described. The main algorithm was modified to allow for parallel execution on a network of workstations. This made possible the effective handling of modules of degree 4030.
References
  • John J. Cannon, An introduction to the group theory language, Cayley, Computational group theory (Durham, 1982) Academic Press, London, 1984, pp.Β 145–183. MR 760656
  • Leonard Chastkofsky and Walter Feit, On the projective characters in characteristic $2$ of the groups $\textrm {Suz}(2^{m})$ and $\textrm {Sp}_{4}(2^{n})$, Inst. Hautes Γ‰tudes Sci. Publ. Math. 51 (1980), 9–35. MR 573820, DOI 10.1007/BF02684775
  • J. H. Conway, R. T. Curtis, S. P. Norton, R. A. Parker, and R. A. Wilson, $\Bbb {ATLAS}$ of finite groups, Oxford University Press, Eynsham, 1985. Maximal subgroups and ordinary characters for simple groups; With computational assistance from J. G. Thackray. MR 827219
  • P. Landrock, Finite group algebras and their modules, London Mathematical Society Lecture Note Series, vol. 84, Cambridge University Press, Cambridge, 1983. MR 737910, DOI 10.1017/CBO9781107325524
  • R. A. Parker, The modular atlas, preprint.
  • Gerhard J. A. Schneider, Computing with endomorphism rings of modular representations, J. Symbolic Comput. 9 (1990), no.Β 5-6, 607–636. Computational group theory, Part 1. MR 1075427, DOI 10.1016/S0747-7171(08)80078-8
  • β€”, Computing socle series of modules and submodule lattices, preprint. P. Sin, Extensions of simple modules for ${\text {Sp}_4}({2^n})$ and ${\text {Suz}}({2^m})$, preprint.
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Additional Information
  • © Copyright 1993 American Mathematical Society
  • Journal: Math. Comp. 60 (1993), 779-786
  • MSC: Primary 20C20; Secondary 20C40
  • DOI: https://doi.org/10.1090/S0025-5718-1993-1181331-1
  • MathSciNet review: 1181331