On spectra of covers of finite simple classical groups.

DOI10.1134/S1064562411040090zbMath1234.20031OpenAlexW2166283107MaRDI QIDQ656378

Mariya A. Grechkoseeva

Publication date: 17 January 2012

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562411040090

zbMATH Keywords

finite simple groupssets of element ordersrecognizable groupscovers of finite groupsirreducible 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)

Cites Work

• Recognition by spectrum for finite simple groups of Lie type.
• Cross characteristic representations of symplectic and unitary groups
• An Adjacency Criterion for the Prime Graph of a Finite Simple Group
• The cyclic structure of maximal tori of the finite classical groups
• Minimum polynomials and lower bounds for eigenvalue multiplicities of prime-power order elements in representations of classical groups

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