On a conjecture about the quasirecognition by prime graph of some finite simple groups

DOI10.1142/S0219498819500701zbMath1481.20048OpenAlexW2801288013WikidataQ123019608 ScholiaQ123019608MaRDI QIDQ5383845

A. Mahmoudifar

Publication date: 20 June 2019

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498819500701

zbMATH Keywords

finite simple groupprime graphlinear groupquasirecognition

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)

Uses Software

• GAP

Cites Work

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• Quasirecognition by prime graph of finite simple groups \(L_n(2)\) and \(U_n(2)\).
• On element orders in covers of finite simple classical groups.
• On characterization by order and prime graph for alternating groups.
• Element orders and Sylow structure of finite groups.
• An Adjacency Criterion for the Prime Graph of a Finite Simple Group
• Recognition of simple groups U 3(Q) by element orders
• The Prime Graph of a Sporadic Simple Group
• On quasirecognition by prime graph of the simple groups $A^{+}_{n}(p)$ and $A^{-}_{n}(p)$

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