Groups whose elements have given orders

DOI10.1007/BF02882636zbMath0906.20009OpenAlexW1991799356MaRDI QIDQ1387435

Wujie Shi

Publication date: 7 December 1998

Published in: Chinese Science Bulletin (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02882636

zbMATH Keywords

finite simple groupselement orders

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Finite simple groups and their classification (20D05)

Related Items

Finite groups with \(2pqr\) elements of the maximal order, Finite groups isospectral to simple groups, Relative order and spectrum in free and related groups, A Theorem of Finite Groups with 18p Elements Having Maximal Order, Pure quantitative characterization of linear groups over the binary field., The characterization of Ree groups \(^2F_4(q)\) by their element orders, The characterization of finite simple groups, \(L_3(3^{2m-1})\) (\(m\geq 2\)), by their element orders.

Cites Work

• Finite groups whose element orders are consecutive integers
• A characterization of finite simple groups with abelian Sylow \(2\)-subgroups
• The set of orders of elements in a finite group
• A simplicity criterion for finite groups
• A characterization of some orthogonal groups
• Finite Groups in Which Every Element Has Prime Power Order
• A characteristic property ofA 8
• A Characterization of Suzuki's Simple Groups
• Corrigendum and Addendum to "Classification of Finite Groups with all Elements of Prime Order"
• A characterization of some alternating and symmetric groups
• Classification of Finite Groups with all Elements of Prime Order
• Groups Whose Elements Have Bounded Orders
• On a class of doubly transitive groups
• The characterization of \(\text{PSL}(2,q)\) by its element orders
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item