Algorithmic problems in twisted groups of Lie type

Details Algorithmic problems in twisted groups of Lie type Algorithmic problems in twisted groups of Lie type

2008-05-24

arxiv.org/abs/0805.3742v2

Mathematics

Group Theory

The author's PhD thesis

Scientific paper

This thesis contains a collection of algorithms for working with the twisted groups of Lie type known as Suzuki groups, and small and large Ree groups. The two main problems under consideration are constructive recognition and constructive membership testing. We also consider problems of generating and conjugating Sylow and maximal subgroups. The algorithms are motivated by, and form a part of, the Matrix Group Recognition Project. Obtaining both theoretically and practically efficient algorithms has been a central goal. The algorithms have been developed with, and implemented in, the computer algebra system MAGMA.

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