Finite groups with a five-component prime graph.

DOI10.1134/S0037446613010060zbMath1275.20009OpenAlexW2076582824MaRDI QIDQ359327

Andrei V. Zavarnitsine

Publication date: 12 August 2013

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

Full work available at URL: https://doi.org/10.1134/s0037446613010060

zbMATH Keywords

finite groupsfinite simple groupsfinite groups of Lie typeprime graphsrecognizable groups

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Simple groups: alternating groups and groups of Lie type (20D06) Representations of finite groups of Lie type (20C33)

Related Items (12)

Criterion of unrecognizability of a finite group by its Gruenberg-Kegel graph ⋮ Composition factors of the finite groups isospectral to simple classical groups ⋮ On characterization by Gruenberg-Kegel graph of finite simple exceptional groups of Lie type ⋮ A restriction on centralizers in finite groups. ⋮ Toward a sharp Baer-Suzuki theorem for the \(\pi \)-radical: exceptional groups of small rank ⋮ On recognition of \(L_4(q)\) and \(U_4(q)\) by spectrum ⋮ A characterization of the prime graphs of solvable groups. ⋮ Recognizability by prime graph of the group \(^2E_6(2)\) ⋮ On the diameter of the intersection graph of a finite simple group ⋮ Recognition of symplectic and orthogonal groups of small dimensions by spectrum ⋮ Element orders in covers of finite simple groups of Lie type ⋮ On finite non-solvable groups whose Gruenberg-Kegel graphs are isomorphic to the paw

Cites Work

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