The Maximal Tori in The Finite Chevalley Groups of Type E6E7And E8
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Publication:3971510
DOI10.1080/00927879108824176zbMath0755.20010OpenAlexW2160348496MaRDI QIDQ3971510
A. P. Fakiolas, D. I. Deriziotis
Publication date: 25 June 1992
Published in: Communications in Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00927879108824176
Linear algebraic groups over finite fields (20G40) Representation theory for linear algebraic groups (20G05)
Related Items (32)
Spectra of automorphic extensions of finite simple exceptional groups of Lie type ⋮ Geometry of root elements in groups of type $\mathrm E_{6}$ ⋮ Prime power graphs for groups of Lie type ⋮ On multiplicity 1 eigenvalues of elements in irreducible representations of finite quasi-simple groups ⋮ Classification of some 3-subgroups of the finite groups of Lie type \(E_{6}\) ⋮ Composition factors of the finite groups isospectral to simple classical groups ⋮ The involution width of finite simple groups ⋮ Maximal 2-local subgroups of \(E_7(q)\). ⋮ Radical subgroups of the finite exceptional groups of Lie type \(E_6\). ⋮ Automorphism Orbits and Element Orders in Finite Groups: Almost-Solubility and the Monster ⋮ Normalisers of maximal tori and a conjecture of Vdovin ⋮ The spectra of almost simple groups with socle E 7 (q) ⋮ On the probability of generating invariably a finite simple group ⋮ The nonvanishing first Hochschild cohomology of twisted finite simple group algebras ⋮ Characterization of the finite simple groups by spectrum and order. ⋮ Spectra of finite simple groups \(E_6(q)\) and \(^2E_6(q)\). ⋮ Width of groups of type \(\mathrm E_6\) with respect to root elements. II. ⋮ Thompson's conjecture for Lie type groups \(E_7(q)\). ⋮ Structure of the maximal tori in spin groups. ⋮ Spectra of the finite simple groups \(E_{7}(q)\) ⋮ Serial group rings of finite simple groups of Lie type ⋮ Rouquier blocks in Chevalley groups of type \(E\). ⋮ Spectra of groups \(E_8(q)\) ⋮ Irreducible representations of finite exceptional groups of lie type containing matrices with simple spectra ⋮ Recognition of symplectic and orthogonal groups of small dimensions by spectrum ⋮ Element orders in covers of finite simple groups of Lie type ⋮ Black box exceptional groups of Lie type ⋮ Width of groups of type $\mathrm E_{6}$ with respect to root elements. I ⋮ Orders of inner-diagonal automorphisms of some simple groups of Lie type ⋮ Recognition by spectrum for simple classical groups in characteristic 2. ⋮ Almost recognizability by spectrum of simple exceptional groups of Lie type. ⋮ О расщепляемости нормализаторов максимальных торов в группах $E_7(q)$ и $E_8(q)$
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