On finite groups isospectral to \(U_3(3)\)

DOI10.1134/S0037446617040097zbMath1421.20010OpenAlexW2752287679MaRDI QIDQ1675176

Peng Zhang

Publication date: 27 October 2017

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

Full work available at URL: https://doi.org/10.1134/s0037446617040097

zbMATH Keywords

spectrumcritical groupfinite groupnonabelian simple group

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Finite simple groups and their classification (20D05)

Related Items

Finite groups isospectral to simple groups ⋮ On finite groups isospectral to the simple group \(S_4(3)\) ⋮ On finite groups isospectral to the simple groups \(S_4(q)\)

Uses Software

• GAP
• ATLAS Group Representations

Cites Work

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• 2-Frobenius groups isospectral to the simple group \(U_3(3)\).
• Recognizability of alternating groups by spectrum.
• On the structure of finite groups isospectral to finite simple groups.
• A criterion of unrecognizability by spectrum for finite groups.
• On groups critical with respect to a set of natural numbers.
• Unrecognizability by spectrum for the finite simple group \(^3D_4(2)\).
• Prime graph components of finite groups
• Kennzeichnung endlicher linearer Gruppen als Permutationsgruppen
• On finite simple groups with the set of element orders as in a Frobenius group or a double Frobenius group.
• Groups critical with respect to the spectra of alternating and sporadic groups.
• Almost recognizability by spectrum of simple exceptional groups of Lie type.
• Finite simple groups with narrow prime spectrum.
• Groups with complete prime graph connected components
• Normal \(p\)-complements for finite groups