The characterization of finite simple groups, \(L_3(3^{2m-1})\) (\(m\geq 2\)), by their element orders.

DOI10.1007/s10114-004-0448-6zbMath1081.20020OpenAlexW2132003537MaRDI QIDQ2581221

Mingchun Xu

Publication date: 9 January 2006

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-004-0448-6

zbMATH Keywords

finite simple groupssets of element ordersrecognizable 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 (1)

A family of non-quasiprimitive graphs constructed from \(\text{PSU}_3(q)\) where \(q\) is odd

Cites Work

• The maximal subgroups of the Steinberg triality groups \(3D_ 4(q)\) and their automorphism groups
• Prime graph components of finite groups
• The characterization of Ree groups \(^2F_4(q)\) by their element orders
• Groups whose elements have given orders
• A perturbed integral geometry problem in a three-dimensional space
• Prime graph components of finite almost simple groups
• Finite Groups in Which Every Element Has Prime Power Order
• The characterization of finite simple groups with no elements of order six by their element orders
• The Subgroups of PSL(3, q) for odd q
• The characterization of \(\text{PSL}(2,q)\) by its element orders
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