On element orders in covers of finite simple classical groups.

DOI10.1016/j.jalgebra.2011.04.014zbMath1245.20013OpenAlexW1996411513MaRDI QIDQ663590

Mariya A. Grechkoseeva

Publication date: 25 February 2012

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2011.04.014

zbMATH Keywords

classical groupsfinite simple groups of Lie typesets of element orderscross-characteristic representationsirreducible finite dimensional modules

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Simple groups: alternating groups and groups of Lie type (20D06) Representations of finite groups of Lie type (20C33)

Related Items (12)

On spectra of almost simple extensions of even-dimensional orthogonal groups ⋮ Unnamed Item ⋮ On element orders in covers of \(L_4(q)\) and \(U_4(q)\) ⋮ Element orders in covers of finite simple groups. ⋮ Finite groups isospectral to simple groups ⋮ On a conjecture about the quasirecognition by prime graph of some finite simple groups ⋮ On finite groups isospectral to simple classical groups. ⋮ On some Frobenius groups with the same prime graph as the almost simple group PGL(2,49) ⋮ On spectra of automorphic extensions of finite simple groups F4(q) and 3D4(q) ⋮ Element orders in covers of finite simple groups of Lie type ⋮ Unnamed Item ⋮ On quasirecognition by prime graph of the simple groups $A^{+}_{n}(p)$ and $A^{-}_{n}(p)$

Uses Software

• GAP

Cites Work

• Recognition by spectrum for finite simple groups of Lie type.
• Prime graph components of finite groups
• Weil representations associated to finite fields
• A characterization of some orthogonal groups
• RECOGNITION OF SOME FINITE SIMPLE GROUPS OF TYPE D_n(q) BY SPECTRUM
• An Adjacency Criterion for the Prime Graph of a Finite Simple Group
• PRIME GRAPH COMPONENTS OF FINITE SIMPLE GROUPS
• Properties of element orders in covers for L(n,q) and U(n,q)
• The cyclic structure of maximal tori of the finite classical groups
• Some Representations of Classical Groups
• Finite simple unisingular groups of Lie type
• Low-dimensional representations of special unitary groups
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