The Schreier-Sims algorithm for matrix groups

Details The Schreier-Sims algorithm for matrix groups The Schreier-Sims algorithm for matrix groups

2004-10-28

arxiv.org/abs/math/0410593v1

Mathematics

Group Theory

The author's MSc thesis. Uses AMS-LaTeX and algorithm2e.sty. For the associated source code, see http://matrixss.sourceforge.n

Scientific paper

This is the report of a project with the aim to make a new implementation of the Schreier-Sims algorithm in GAP, specialized for matrix groups. The standard Schreier-Sims algorithm is described in some detail, followed by descriptions of the probabilistic Schreier-Sims algorithm and the Schreier-Todd-Coxeter-Sims algorithm. Then we discuss our implementation and some optimisations, and finally we report on the performance of our implementation, as compared to the existing implementation in GAP, and we give benchmark results. The conclusion is that our implementation in some cases is faster and consumes much less memory.

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