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Research Article | Open Access

On the proportion of elements of order a product of two primes in finite symmetric groups

Hailin Liu( ), Longzhi Lu, Liping Zhong
School of Science, Jiangxi University of Science and Technology, Ganzhou 341000, China
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Abstract

This is one of a series of papers that aims to give an explicit upper bound on the proportion of elements of order a product of two primes in finite symmetric groups. This one presents such a bound for the elements as the product of two distinct odd primes.

Keywords

symmetric groupselementsorderproportionupper bound
CLC number: 20B30, 05A05

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AIMS Mathematics
Volume 9 Issue 9,
September 2024
Pages 24394-24400
DOI: 10.3934/math.20241188

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Cite this article:
Liu H, Lu L, Zhong L. On the proportion of elements of order a product of two primes in finite symmetric groups. AIMS Mathematics, 2024, 9(9): 24394-24400. https://doi.org/10.3934/math.20241188

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Received: 26 March 2024
Revised: 10 August 2024
Accepted: 14 August 2024
Published: 15 September 2024
©2024 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)