Finding the characteristic of a group of Lie type

DOI10.1112/jlms/jdm028zbMath1126.20008OpenAlexW1989134666WikidataQ115257169 ScholiaQ115257169MaRDI QIDQ5308181

Martin W. Liebeck, E. A. O'Brien

Publication date: 27 September 2007

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/jlms/jdm028

zbMATH Keywords

finite simple groupsMonte Carlo algorithmsgroups of Lie typequasi-simple groups

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Linear algebraic groups over finite fields (20G40) Simple groups: alternating groups and groups of Lie type (20D06)

Related Items (12)

Recognising simplicity of black-box groups by constructing involutions and their centralisers. ⋮ Constructing composition factors for a linear group in polynomial time ⋮ On products of involutions in finite groups of Lie type in even characteristic. ⋮ 2-parts of real class sizes ⋮ Constructive membership in black-box groups ⋮ A practical model for computation with matrix groups. ⋮ Recognition of finite exceptional groups of Lie type ⋮ Involution centralisers in finite unitary groups of odd characteristic ⋮ Large element orders and the characteristic of Lie-type simple groups. ⋮ The graph of atomic divisors and recognition of finite simple groups ⋮ Regular semisimple elements and involutions in finite general linear groups of odd characteristic ⋮ Black box exceptional groups of Lie type

Uses Software

• Magma

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