On the proportion of elements in finite symmetric group: I

Year 2024, Early Access, 1 - 7

Hailin Liu , Liping Zhong

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

Abstract

This is one of a series of papers that aims towards to give an explicit upper bound on the proportion of elements of order a product of two primes in finite symmetric group. This one presents such a bound for the elements that have 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).

References

• [1] S. Chowla, I. N. Herstein and W. R. Scott, The solutions of x d = 1 in symmetric groups, Norske Vid. Selsk. Forh. Trondheim 25, 29-31, 1952