Unrecognizability by spectrum for the finite simple group \(^3D_4(2)\).

DOI10.1007/S10469-013-9252-7zbMath1329.20015OpenAlexW1992511788MaRDI QIDQ893081

Victor D. Mazurov

Publication date: 13 November 2015

Published in: Algebra and Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10469-013-9252-7

zbMATH Keywords

finite simple groupssets of element ordersspectra of groupsisospectral groupsrecognition by spectrumrecognizability by spectrumunrecognizable groupsproper covers of groups

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Simple groups: alternating groups and groups of Lie type (20D06)

Related Items (10)

Spectra of automorphic extensions of finite simple exceptional groups of Lie type ⋮ On finite groups isospectral to \(U_3(3)\) ⋮ On element orders in covers of \(L_4(q)\) and \(U_4(q)\) ⋮ Element orders in covers of finite simple groups. ⋮ Finite 4-primary groups with disconnected Gruenberg-Kegel graph containing a triangle ⋮ Finite groups isospectral to simple groups ⋮ The recognition of finite simple groups with no elements of order $10$ by their element orders ⋮ On finite groups isospectral to the simple groups \(S_4(q)\) ⋮ Element orders in covers of finite simple groups of Lie type ⋮ Almost recognizability by spectrum of simple exceptional groups of Lie type.

Uses Software

• ATLAS Group Representations
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Cites Work

• Element orders in covers of finite simple groups.
• Exceptional action of the simple groups \(L_4(q)\) in the defining characteristic.
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