On recognition by spectrum of the simple groups \(B_3(q)\), \(C_3(q)\), and \(D_4(q)\).

DOI10.1134/S0037446612020334zbMath1255.20011OpenAlexW2128376438MaRDI QIDQ1760528

Xianqiang Yang

Publication date: 14 November 2012

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0037446612020334

zbMATH Keywords

symplectic groupsorthogonal groupsfinite simple groupscomposition factorssets of element ordersspectra of groupsrecognizable groupsrecognition by spectrum

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)

Related Items (5)

Finite groups isospectral to simple groups ⋮ Simple groups whose Gruenberg-Kegel graph or solvable graph is split ⋮ Recognition of symplectic and orthogonal groups of small dimensions by spectrum ⋮ Element orders in covers of finite simple groups of Lie type ⋮ Recognition by spectrum for simple classical groups in characteristic 2.

Cites Work

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• On element orders in coverings of the simple groups \(L_n(q)\) and \(U_n(q)\).
• Recognition by spectrum for finite simple groups with orders having prime divisors at most 17.
• Certain embeddings among finite groups of Lie type
• Spectra of finite symplectic and 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
• Spectra of finite linear and unitary groups
• On Zsigmondy primes

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