Power maps in finite groups

zbMath1464.20006arXiv1707.06696MaRDI QIDQ5244186

Matt Larson

Publication date: 20 November 2019

Full work available at URL: https://arxiv.org/abs/1707.06696

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Other combinatorial number theory (11B75) Combinatorial aspects of groups and algebras (05E16)

Related Items (2)

On the functional graph of the power map over finite groups ⋮ On a bijection between a finite group and cyclic group

Uses Software

• SageMath

Cites Work

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• The power graph of a finite group
• On two classes of permutations with number-theoretic conditions on the lengths of the cycles
• On the iteration of certain quadratic maps over GF(\(p\)).
• On the cycle structure of repeated exponentiation modulo a prime
• Period of the power generator and small values of Carmichael’s function
• Artin's primitive root conjecture and a problem of Rohrlich
• Carmichael's lambda function
• A Simple Unpredictable Pseudo-Random Number Generator
• Shifted primes without large prime factors
• On the order of unimodular matrices modulo integers
• On the Order of Random Permutation with Cycle Weights
• Power graphs: A survey
• On the periods of the linear congruential and power generators
• Connected components of the graph generated by power maps in prime finite fields

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