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

2010/08/17 by Alexandre Borovik, Borovik, Alexandre, Şükrü Yalçınkaya +2 · 1 citation
Mathematics · #Advanced Algebra and Geometry #Advanced Topics in Algebra #Finite Group Theory Research #math.GR

paper · pdf · doi:10.48550/arxiv.1008.2823

35 pages

arxiv created 2010/08/17 · arxiv updated 2010/08/18

Abstract

We present a polynomial time Monte-Carlo algorithm for finite simple black box classical groups of odd characteristic which constructs all root \rmSL₂(q)-subgroups associated with the nodes of the extended Dynkin diagram of the corresponding algebraic group.

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• Steinberg presentations of black box classical groups in small characteristics

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