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2010.72: Construction of Curtis-Phan-Tits system in black box classical groups

2010.72: Alexandre Borovik and Sukru Yalcinkaya (2010) Construction of Curtis-Phan-Tits system in black box classical groups.

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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 2000 > 20 Group theory and generalizations
MIMS number:2010.72
Deposited By:Prof Alexandre Borovik
Deposited On:15 August 2010

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