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## Some Involutions which Generate the Finite Symmetric Group

#### Leyla BUGAY [1]

Let $S_{n}$ be the symmetric group on $X_{n}=\{1, \dots, n\}$, for $n\geq 2$. In this paper we state some properties of subsemigroups generated by two involutions (a permutation with degree $2$) $\alpha,\beta$ such that $\alpha\beta$ is an $n$-cycle, and then state some generating sets of $S_n$ consists of involutions.
Symmetric group, involution, generating set
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Primary Language en Engineering Articles Orcid: 0000-0002-8316-2763Author: Leyla BUGAY (Primary Author)Institution: Çukurova ÜniversityCountry: Turkey Publication Date : March 20, 2020
 Bibtex @research article { mathenot608443, journal = {Mathematical Sciences and Applications E-Notes}, issn = {}, eissn = {2147-6268}, address = {}, publisher = {Murat TOSUN}, year = {2020}, volume = {8}, pages = {25 - 28}, doi = {10.36753/mathenot.608443}, title = {Some Involutions which Generate the Finite Symmetric Group}, key = {cite}, author = {Bugay, Leyla} } APA Bugay, L . (2020). Some Involutions which Generate the Finite Symmetric Group . Mathematical Sciences and Applications E-Notes , 8 (1) , 25-28 . DOI: 10.36753/mathenot.608443 MLA Bugay, L . "Some Involutions which Generate the Finite Symmetric Group" . Mathematical Sciences and Applications E-Notes 8 (2020 ): 25-28 Chicago Bugay, L . "Some Involutions which Generate the Finite Symmetric Group". Mathematical Sciences and Applications E-Notes 8 (2020 ): 25-28 RIS TY - JOUR T1 - Some Involutions which Generate the Finite Symmetric Group AU - Leyla Bugay Y1 - 2020 PY - 2020 N1 - doi: 10.36753/mathenot.608443 DO - 10.36753/mathenot.608443 T2 - Mathematical Sciences and Applications E-Notes JF - Journal JO - JOR SP - 25 EP - 28 VL - 8 IS - 1 SN - -2147-6268 M3 - doi: 10.36753/mathenot.608443 UR - https://doi.org/10.36753/mathenot.608443 Y2 - 2020 ER - EndNote %0 Mathematical Sciences and Applications E-Notes Some Involutions which Generate the Finite Symmetric Group %A Leyla Bugay %T Some Involutions which Generate the Finite Symmetric Group %D 2020 %J Mathematical Sciences and Applications E-Notes %P -2147-6268 %V 8 %N 1 %R doi: 10.36753/mathenot.608443 %U 10.36753/mathenot.608443 ISNAD Bugay, Leyla . "Some Involutions which Generate the Finite Symmetric Group". Mathematical Sciences and Applications E-Notes 8 / 1 (March 2020): 25-28 . https://doi.org/10.36753/mathenot.608443 AMA Bugay L . Some Involutions which Generate the Finite Symmetric Group. Math. Sci. Appl. E-Notes. 2020; 8(1): 25-28. Vancouver Bugay L . Some Involutions which Generate the Finite Symmetric Group. Mathematical Sciences and Applications E-Notes. 2020; 8(1): 25-28. IEEE L. Bugay , "Some Involutions which Generate the Finite Symmetric Group", Mathematical Sciences and Applications E-Notes, vol. 8, no. 1, pp. 25-28, Mar. 2020, doi:10.36753/mathenot.608443

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