Algorithm for Lang's Theorem

Details Algorithm for Lang's Theorem Algorithm for Lang's Theorem

2005-06-03

arxiv.org/abs/math/0506068v1

Mathematics

Group Theory

Scientific paper

We give an efficient algorithm for Lang's Theorem in split connected
reductive groups defined over finite fields of characteristic greater than 3.
This algorithm can be used to construct many important structures in finite
groups of Lie type. We use an algorithm for computing a Chevalley basis for a
split reductive Lie algebra, which is of independent interest.

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