On a bijection between a finite group and cyclic group

DOI10.1016/j.jpaa.2024.107632OpenAlexW4391426107MaRDI QIDQ6117866

Mohsen Amiri

Publication date: 20 March 2024

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2024.107632

zbMATH Keywords

sums of element ordersspectrum of a groupnon-cyclic finite group

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) General structure theorems for groups (20E34) Abstract finite groups (20D99)

Cites Work

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• On the iteration of certain quadratic maps over GF(\(p\)).
• On the cycle structure of repeated exponentiation modulo a prime
• Unsolved Problems in Group Theory. The Kourovka Notebook
• Sums of Element Orders in Finite Groups
• Characterization of finite groups by a bijection with a divisible property on the element orders
• Power maps in finite groups
• On the periods of the linear congruential and power generators

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