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

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

2010-08-17

arxiv.org/abs/1008.2823v1

Mathematics

Group Theory

35 pages

Scientific paper

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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