Computing modular and projective character degrees of soluble groups
Journal of Symbolic Computation
The computer construction of matrix representationsof finite groups over finite fields
Journal of Symbolic Computation
Computer condensation of modular representations
Journal of Symbolic Computation
Computing with endomorphism ringsof modular representations
Journal of Symbolic Computation
Efficient decomposition of associative algebras
ISSAC '96 Proceedings of the 1996 international symposium on Symbolic and algebraic computation
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Modern computers and computer algebra systems yield powerful tools for mathematicalresearch. In this article, some applications of computer algebra packages and scientific software in the theory of modular representations of finite groups are described. Ten mathematical problems are mentioned, the solutions of which require new algorithms and most likely extensions of the present mathematical software. It is hoped that the corresponding computer experiments stimulate further mathematical research. Furthermore, they will show the importance of the development of computer algebra for theoretical mathematics.