Yıl: 2020 Cilt: 8 Sayı: 1 Sayfa Aralığı: 25 - 28 Metin Dili: İngilizce DOI: 10.36753/MATHENOT.608443 İndeks Tarihi: 24-03-2021

Some Involutions which Generate the Finite Symmetric Group

Öz:
Let Sn be the symmetric group on Xn = {1, . . . , n} for n ≥ 2. In this paper we state some propertiesof subsemigroups generated by two involutions (a permutation with degree 2) α, β such that αβ is ann-cycle, and then we state some generating sets of Sn which consists of involutions.
Anahtar Kelime:

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
  • [1] Ayık, G., Ayık, H., Bugay, L., Kelekci, O.: Generating sets of finite singular transformation semigroups. Semigroup Forum. 86, 59–66 (2013).
  • [2] Bugay, L.: Quasi-idempotent ranks of some permutation groups and transformation semigroups. Turk. J. Math. 43, 2390-2395 (2019).
  • [3] Ganyushkin, O., Mazorchuk, V.: Classical finite transformation semigroups. Springer-Verlag. London (2009).
  • [4] Garba, G. U.: Idempotents in partial transformation semigroups. Proc. Royal Soc. Edinburgh. 116A, 359–366 (1990).
  • [5] Garba, G. U.: On the idempotent ranks of certain semigroups of order-preserving transformations. Portugal. Math. 51, 185–204 (1994).
  • [6] Garba, G. U., Imam, A. T.: Products of quasi-idempotents in finite symmetric inverse semigroups. Semigroup Forum. 92, 645–658 (2016).
  • [7] Howie, J. M.: Idempotent generators in finite full transformation semigroups. Proc. Royal Soc. Edinburgh. 81A, 317–323 (1978).
  • [8] Howie, J. M.: Fundamentals of semigroup theory. Oxford University Press. New York (1995).
  • [9] Isaacs, I. M.: Finite group theory. American Mathematical Society, Graduate Studies in Mathematics, Volume 92. United States of America (2008).
APA L (2020). Some Involutions which Generate the Finite Symmetric Group. , 25 - 28. 10.36753/MATHENOT.608443
Chicago Leyla Some Involutions which Generate the Finite Symmetric Group. (2020): 25 - 28. 10.36753/MATHENOT.608443
MLA Leyla Some Involutions which Generate the Finite Symmetric Group. , 2020, ss.25 - 28. 10.36753/MATHENOT.608443
AMA L Some Involutions which Generate the Finite Symmetric Group. . 2020; 25 - 28. 10.36753/MATHENOT.608443
Vancouver L Some Involutions which Generate the Finite Symmetric Group. . 2020; 25 - 28. 10.36753/MATHENOT.608443
IEEE L "Some Involutions which Generate the Finite Symmetric Group." , ss.25 - 28, 2020. 10.36753/MATHENOT.608443
ISNAD , Leyla. "Some Involutions which Generate the Finite Symmetric Group". (2020), 25-28. https://doi.org/10.36753/MATHENOT.608443
APA L (2020). Some Involutions which Generate the Finite Symmetric Group. Mathematical Sciences and Applications E-Notes, 8(1), 25 - 28. 10.36753/MATHENOT.608443
Chicago Leyla Some Involutions which Generate the Finite Symmetric Group. Mathematical Sciences and Applications E-Notes 8, no.1 (2020): 25 - 28. 10.36753/MATHENOT.608443
MLA Leyla Some Involutions which Generate the Finite Symmetric Group. Mathematical Sciences and Applications E-Notes, vol.8, no.1, 2020, ss.25 - 28. 10.36753/MATHENOT.608443
AMA L Some Involutions which Generate the Finite Symmetric Group. Mathematical Sciences and Applications E-Notes. 2020; 8(1): 25 - 28. 10.36753/MATHENOT.608443
Vancouver L Some Involutions which Generate the Finite Symmetric Group. Mathematical Sciences and Applications E-Notes. 2020; 8(1): 25 - 28. 10.36753/MATHENOT.608443
IEEE L "Some Involutions which Generate the Finite Symmetric Group." Mathematical Sciences and Applications E-Notes, 8, ss.25 - 28, 2020. 10.36753/MATHENOT.608443
ISNAD , Leyla. "Some Involutions which Generate the Finite Symmetric Group". Mathematical Sciences and Applications E-Notes 8/1 (2020), 25-28. https://doi.org/10.36753/MATHENOT.608443