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

Alexandre Borovik; Sukru Yalcinkaya

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arXiv · 1008.2823

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

Alexandre Borovik·Sukru Yalcinkaya

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Abstract

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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Alexandre Borovik, Sukru Yalcinkaya. 2010-08-17. Construction of Curtis-Phan-Tits system in black box classical groups. https://arxiv.org/abs/1008.2823

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