A simplicity criterion for finite groups

DOI10.1006/jabr.1997.6869zbMath0872.20025OpenAlexW2040623282MaRDI QIDQ1357566

Huiwen Deng, Wujie Shi

Publication date: 13 October 1997

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

Full work available at URL: https://doi.org/10.1006/jabr.1997.6869

zbMATH Keywords

finite groupsfinite simple groupselement ordersprime graph componentsclassification of simple groups

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) General structure theorems for groups (20E34) Finite simple groups and their classification (20D05)

Related Items (4)

Groups whose elements have given orders ⋮ On 9- and 10-decomposable finite groups. ⋮ Unnamed Item ⋮ The characterization of finite simple groups with no elements of order six by their element orders

Cites Work

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• Prime graph components of finite groups
• Finite Groups in Which Every Element Has Prime Power Order
• ON FINITE GROUPS OF EVEN ORDER WHOSE 2-SYLOW GROUP IS A QUATERNION GROUP
• A Characterization of Suzuki's Simple Groups
• Classification of Finite Groups with all Elements of Prime Order
• On Ree's Series of Simple Groups
• 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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