Construction of Curtis-Phan-Tits system in black box classical groups

preprint2010arXivOpen access

We present a polynomial time Monte-Carlo algorithm for finite simple black box classical groups of odd characteristic which constructs all root ${\rm{SL}}_2(q)$ -subgroups associated with the nodes of the extended Dynkin diagram of the corresponding algebraic group.

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Construction of Curtis-Phan-Tits system in black box classical groups

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