Spectra of finite simple groups \(E_6(q)\) and \(^2E_6(q)\).

DOI10.1007/s10469-013-9234-9zbMath1284.20023OpenAlexW2071370504MaRDI QIDQ2434602

Aleksandr Aleksandrovich Buturlakin

Publication date: 6 February 2014

Published in: Algebra and Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10469-013-9234-9

zbMATH Keywords

finite simple groupsfinite groups of Lie typeunipotent elementsrecognizabilityrecognition by spectrasets of element ordersspectra of groupssemisimple elements

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Simple groups: alternating groups and groups of Lie type (20D06)

Related Items (10)

Spectra of automorphic extensions of finite simple exceptional groups of Lie type ⋮ A criterion for the existence of nilpotent hall π-subgroups ⋮ Codegrees and element orders of almost simple groups ⋮ Automorphism Orbits and Element Orders in Finite Groups: Almost-Solubility and the Monster ⋮ Spectra of the finite simple groups \(E_{7}(q)\) ⋮ Spectra of groups \(E_8(q)\) ⋮ On finite groups isospectral to the simple groups \(S_4(q)\) ⋮ Element orders in covers of finite simple groups of Lie type ⋮ On Thompson’s conjecture for finite simple groups ⋮ Orders of inner-diagonal automorphisms of some simple groups of Lie type

Cites Work

• Unnamed Item
• \(A_ 1\)-type overgroups of elements of order \(p\) in semisimple algebraic groups and the associated finite groups
• The cyclic structure of maximal tori of the finite classical groups
• The Maximal Tori in The Finite Chevalley Groups of Type E₆E₇And E₈
• Centralizers of Semisimple Elements in Finite Groups of Lie Type

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