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
On the proportion of elements in finite symmetric group: I
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.
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
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).
Liu, H., & Zhong, L. (2024). On the proportion of elements in finite symmetric group: I. Hacettepe Journal of Mathematics and Statistics1-7. https://doi.org/10.15672/hujms.1367438
AMA
Liu H, Zhong L. On the proportion of elements in finite symmetric group: I. Hacettepe Journal of Mathematics and Statistics. Published online April 1, 2024:1-7. doi:10.15672/hujms.1367438
Chicago
Liu, Hailin, and Liping Zhong. “On the Proportion of Elements in Finite Symmetric Group: I”. Hacettepe Journal of Mathematics and Statistics, April (April 2024), 1-7. https://doi.org/10.15672/hujms.1367438.
EndNote
Liu H, Zhong L (April 1, 2024) On the proportion of elements in finite symmetric group: I. Hacettepe Journal of Mathematics and Statistics 1–7.
IEEE
H. Liu and L. Zhong, “On the proportion of elements in finite symmetric group: I”, Hacettepe Journal of Mathematics and Statistics, pp. 1–7, April 2024, doi: 10.15672/hujms.1367438.
ISNAD
Liu, Hailin - Zhong, Liping. “On the Proportion of Elements in Finite Symmetric Group: I”. Hacettepe Journal of Mathematics and Statistics. April 2024. 1-7. https://doi.org/10.15672/hujms.1367438.
JAMA
Liu H, Zhong L. On the proportion of elements in finite symmetric group: I. Hacettepe Journal of Mathematics and Statistics. 2024;:1–7.
MLA
Liu, Hailin and Liping Zhong. “On the Proportion of Elements in Finite Symmetric Group: I”. Hacettepe Journal of Mathematics and Statistics, 2024, pp. 1-7, doi:10.15672/hujms.1367438.
Vancouver
Liu H, Zhong L. On the proportion of elements in finite symmetric group: I. Hacettepe Journal of Mathematics and Statistics. 2024:1-7.