On a bound of Cocke and Venkataraman

DOI10.1007/S00605-021-01587-9OpenAlexW3198299057MaRDI QIDQ2117294

Benjamin Sambale, Philipp Wellmann

Publication date: 21 March 2022

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.01301

zbMATH Keywords

finite groupsnumber of elementsmaximal order

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) General structure theorems for groups (20E34)

Uses Software

• GAP

Cites Work

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• Finite groups with 24 elements of maximal order.
• The number of solutions of \(x^3=1\) in a 3-group
• Finite groups which have 20 elements of maximal order
• Finite groups with 30 elements of maximal order.
• On the Number of Elements of Maximal Order in a Group
• On the number of elements in a group whose order is divisible by a common natural number

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