On the proportion of elements of order $2p$ in finite symmetric groups

Year 2025, Volume: 54 Issue: 1, 173 - 179, 28.02.2025

Hailin Liu , Liping Zhong

https://doi.org/10.15672/hujms.1367438

Cited By: 1

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 with order twice a prime.

Keywords

symmetric group, element, proportion, order

Project Number

This work was partially supported by NSFC (12126415,12301026), Jiangxi Provincial Natural Science Foundation (20232BAB211006), and the Science and Technology Research Project of Jiangxi Education Department (GJJ2200841).

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