Borovik, Alexandre and Yalcinkaya, Sukru (2010) Construction of Curtis-Phan-Tits system in black box classical groups. [MIMS Preprint]
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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 SL(2,q)-subgroups associated with the nodes of the extended Dynkin diagram of the corresponding algebraic group.
Item Type: | MIMS Preprint |
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Uncontrolled Keywords: | black box group, Monte Carlo algorithm, probabilistic recognition |
Subjects: | MSC 2010, the AMS's Mathematics Subject Classification > 20 Group theory and generalizations |
Depositing User: | Prof Alexandre Borovik |
Date Deposited: | 15 Aug 2010 |
Last Modified: | 08 Nov 2017 18:18 |
URI: | https://eprints.maths.manchester.ac.uk/id/eprint/1507 |
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