Araştırma Makalesi
Yıl 2025,
, 173 - 179, 28.02.2025
Öz
Proje Numarası
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).
Kaynakça
- [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.
- [2] S. P. Glasby, C. E. Praeger and W. R. Unger, Most permutations power to a cycle of small prime length, Proc. Edinburgh Math. Soc. 64, 234-246, 2021.
- [3] E. Jacobsthal, Sur le nombre d’´el´ements du groupe sym´etrique Sn dont l’ordre est un nombre premier, Norske Vid. Selsk. Forh. Trondheim 21 (12), 49-51, 1949.
- [4] L. Moser and M. Wyman, On solutions of $x^d=1$ in symmetric groups, Canad. J. Math. 7, 159-168, 1955.
- [5] A. C. Niemeyer, T. Popiel and C. E. Praeger, On proportions of pre-involutions in finite classical groups, J. Algebra 324, 1016-1043, 2010.
- [6] A. C. Niemeyer, C. E. Praeger and A. Seress, Estimation problems and randomised group algorithms, In Probabilistic Group Theory, Combinatorics and Computing, Editors: Alla Detinko, Dane Flannery and Eamonn O’Brien. Lecture Notes in Mathematics, Volume 2070 Chapter 2, 35-82 Springer, Berlin,2020.
- [7] C. E. Praeger and E. Suleiman, On the proportion of elements of prime order in finite symmetric groups, Int. J. Group Theory 13, 251-256, 2024.
Yıl 2025,
, 173 - 179, 28.02.2025
Öz
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.
Anahtar Kelimeler
Proje Numarası
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).
Kaynakça
- [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.
- [2] S. P. Glasby, C. E. Praeger and W. R. Unger, Most permutations power to a cycle of small prime length, Proc. Edinburgh Math. Soc. 64, 234-246, 2021.
- [3] E. Jacobsthal, Sur le nombre d’´el´ements du groupe sym´etrique Sn dont l’ordre est un nombre premier, Norske Vid. Selsk. Forh. Trondheim 21 (12), 49-51, 1949.
- [4] L. Moser and M. Wyman, On solutions of $x^d=1$ in symmetric groups, Canad. J. Math. 7, 159-168, 1955.
- [5] A. C. Niemeyer, T. Popiel and C. E. Praeger, On proportions of pre-involutions in finite classical groups, J. Algebra 324, 1016-1043, 2010.
- [6] A. C. Niemeyer, C. E. Praeger and A. Seress, Estimation problems and randomised group algorithms, In Probabilistic Group Theory, Combinatorics and Computing, Editors: Alla Detinko, Dane Flannery and Eamonn O’Brien. Lecture Notes in Mathematics, Volume 2070 Chapter 2, 35-82 Springer, Berlin,2020.
- [7] C. E. Praeger and E. Suleiman, On the proportion of elements of prime order in finite symmetric groups, Int. J. Group Theory 13, 251-256, 2024.
Toplam 7 adet kaynakça vardır.
Ayrıntılar
| Birincil Dil | İngilizce |
|---|---|
| Konular | Grup Teorisi ve Genellemeler |
| Bölüm | Matematik |
| Yazarlar | |
| Proje Numarası | 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). |
| Erken Görünüm Tarihi | 14 Nisan 2024 |
| Yayımlanma Tarihi | 28 Şubat 2025 |
| Yayımlandığı Sayı | Yıl 2025 |