The Number of Non-cyclic Sylow Subgroups of the Multiplicative Group Modulo n

DOI10.4153/S0008439520000375zbMath1472.11260OpenAlexW3035027496MaRDI QIDQ5858670

Paul Pollack

Publication date: 14 April 2021

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4153/s0008439520000375

zbMATH Keywords

Sylow subgroupEuler functionCarmichael functionmultiplicative group

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Applications of sieve methods (11N36)

Related Items (1)

Numbers which are orders only of cyclic groups

Cites Work

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• An analogue of the Erdős-Kac theorem for Fourier coefficients of modular forms
• Prime divisors of Fourier coefficients of modular forms
• On the number of restricted prime factors of an integer. I
• On the normal number of prime factors of \(\phi(n)\)
• Arithmetic properties of \(\varphi(n)/\lambda(n)\) and the structure of the multiplicative group modulo \(n\)
• The smallest invariant factor of the multiplicative group
• Carmichael's lambda function
• On the distribution of amicable numbers.
• THE DISTRIBUTION OF THE NUMBER OF SUBGROUPS OF THE MULTIPLICATIVE GROUP

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