Quasirecognition by prime graph of finite simple groups \(L_n(2)\) and \(U_n(2)\).

DOI10.1007/S10474-010-0053-3zbMath1232.20020OpenAlexW2008691312MaRDI QIDQ653863

Hossein Moradi, Behrooz Khosravi

Publication date: 19 December 2011

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-010-0053-3

zbMATH Keywords

finite simple groupsunitary groupslinear groupsprime graphssets of element ordersquasirecognitionquasirecognizable groupsnon-Abelian composition factorsrecognition of finite simple groups

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Finite simple groups and their classification (20D05) Simple groups: alternating groups and groups of Lie type (20D06)

Related Items (11)

QUASIRECOGNITION BY PRIME GRAPH OF SOME ORTHOGONAL GROUPS OVER THE BINARY FIELD ⋮ On the composition factors of a group with the same prime graph as B n (5) ⋮ Criterion of unrecognizability of a finite group by its Gruenberg-Kegel graph ⋮ Quasirecognition by prime graph of the groups \(^2 D_{2n}(q)\) where \(q<10^5\) ⋮ Groups with the same prime graph as the orthogonal group \(B_n(3)\). ⋮ On a conjecture about the quasirecognition by prime graph of some finite simple groups ⋮ Recognition by prime graph of \(^2D_{2^m+1}(3)\). ⋮ Groups with the same prime graph as the simple group \(D_n(5)\). ⋮ On quasirecognition by prime graph of the simple groups $A^{+}_{n}(p)$ and $A^{-}_{n}(p)$ ⋮ Quasirecognition by prime graph of \(^2D_n(3^\alpha)\) where \(n=4m+1\geq 21\) and \(\alpha\) is odd ⋮ ON COMPOSITION FACTORS OF A GROUP WITH THE SAME PRIME GRAPH AS Ln(5)

Cites Work

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• On element orders in coverings of the simple groups \(L_n(q)\) and \(U_n(q)\).
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