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An algorithm for determining the simplicity of a modular group representation
- Source :
- Journal of Symbolic Computation. 6:105-111
- Publication Year :
- 1988
- Publisher :
- Elsevier BV, 1988.
-
Abstract
- Let G be a finite group an F and arbitrary splitting field for G. Using the Amitsur-Levitzki theorem on the polynomial identities satisfied by a matrix ring over a commutative ring an algorithm is given for finding the minimal dimension t for which there is a simple t-dimensional FG-submodule U in a faithful FG-module M of dimension n
Details
- ISSN :
- 07477171
- Volume :
- 6
- Database :
- OpenAIRE
- Journal :
- Journal of Symbolic Computation
- Accession number :
- edsair.doi.dedup.....2c4694efc3f05eae9ae3089f043d1010
- Full Text :
- https://doi.org/10.1016/s0747-7171(88)80025-7