The characterization of finite simple groups with no elements of order six by their element orders

DOI10.1080/00927870008827030zbMath0956.20005OpenAlexW1987159188MaRDI QIDQ4489724

Wujie Shi, Jianbei An

Publication date: 11 December 2000

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927870008827030

zbMATH Keywords

symplectic groupsfinite simple groupsunitary groupscharacterizable groupsorders of elements

Mathematics Subject Classification ID

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 (3)

Recognition of the groups \(E_7(2)\) and \(E_7(3)\) by prime graph ⋮ The recognition of finite simple groups with no elements of order $10$ by their element orders ⋮ The characterization of finite simple groups, \(L_3(3^{2m-1})\) (\(m\geq 2\)), by their element orders.

Cites Work

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• Prime graph components of finite groups
• Finite groups whose element orders are consecutive integers
• The characterization of Ree groups \(^2F_4(q)\) by their element orders
• A simplicity criterion for finite groups
• Finite groups in which the centralizer of any element of order 2 is 2- closed
• Finite Groups in Which Every Element Has Prime Power Order
• ENDLICHE GRUPPEN, DIE KEIN ELEMENT DER ORDNUNG 6 ENTHALTEN
• Finite simple groups with no elements of order six
• Prime graph components of the simple groups of Lie type over the field of even characteristic
• The characterization of \(\text{PSL}(2,q)\) by its element orders

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