Quasirecognition of E6(q) by the orders of maximal abelian subgroups

DOI10.1142/S0219498818501220zbMath1486.20017OpenAlexW2626780894MaRDI QIDQ4566056

Behrooz Khosravi, Zahra Momen

Publication date: 14 June 2018

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

Full work available at URL: https://doi.org/10.1142/s0219498818501220

zbMATH Keywords

characterizationsimple groupprojective special linear groupprime graphmaximal abelian subgroupunique nonabelian composition factor

Mathematics Subject Classification ID

Simple groups: sporadic groups (20D08) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Finite simple groups and their classification (20D05) Simple groups: alternating groups and groups of Lie type (20D06)

Related Items (2)

Characterization of groups \(E_6(3)\) and \(^2E_6(3)\) by Gruenberg-Kegel graph ⋮ On recognizability of \(\mathrm{PSU}_3(q)\) by the orders of maximal abelian subgroups

Cites Work

• A Diophantine equation which arises in the theory of finite groups
• Certain embeddings among finite groups of Lie type
• Further reflections on Thompson's conjecture
• A new characterization of the simple group \(A_1(p^n)\).
• Groups with the same orders of maximal abelian subgroups as \(A_2(q)\).
• CHARACTERIZATION BY PRIME GRAPH OF PGL(2, p^k) WHERE p AND k > 1 ARE ODD
• An Adjacency Criterion for the Prime Graph of a Finite Simple Group
• Spectra of finite linear and unitary groups
• Quasirecognition by prime graph of simple group D_n(3)
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