English

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

Group Theory 2010-08-18 v1

Abstract

We present a polynomial time Monte-Carlo algorithm for finite simple black box classical groups of odd characteristic which constructs all root SL2(q){\rm{SL}}_2(q)-subgroups associated with the nodes of the extended Dynkin diagram of the corresponding algebraic group.

Cite

@article{arxiv.1008.2823,
  title  = {Construction of Curtis-Phan-Tits system in black box classical groups},
  author = {Alexandre Borovik and Sukru Yalcinkaya},
  journal= {arXiv preprint arXiv:1008.2823},
  year   = {2010}
}

Comments

35 pages

R2 v1 2026-06-21T16:01:43.670Z