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

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
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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