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.
Bugay, L. (2020). Some Involutions which Generate the Finite Symmetric Group. Mathematical Sciences and Applications E-Notes, 8(1), 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. March 2020;8(1):25-28. doi:10.36753/mathenot.608443
Chicago
Bugay, Leyla. “Some Involutions Which Generate the Finite Symmetric Group”. Mathematical Sciences and Applications E-Notes 8, no. 1 (March 2020): 25-28. https://doi.org/10.36753/mathenot.608443.
EndNote
Bugay L (March 1, 2020) Some Involutions which Generate the Finite Symmetric Group. Mathematical Sciences and Applications E-Notes 8 1 25–28.
IEEE
L. Bugay, “Some Involutions which Generate the Finite Symmetric Group”, Math. Sci. Appl. E-Notes, vol. 8, no. 1, pp. 25–28, 2020, doi: 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.
JAMA
Bugay L. Some Involutions which Generate the Finite Symmetric Group. Math. Sci. Appl. E-Notes. 2020;8:25–28.
MLA
Bugay, Leyla. “Some Involutions Which Generate the Finite Symmetric Group”. Mathematical Sciences and Applications E-Notes, vol. 8, no. 1, 2020, pp. 25-28, doi:10.36753/mathenot.608443.
Vancouver
Bugay L. Some Involutions which Generate the Finite Symmetric Group. Math. Sci. Appl. E-Notes. 2020;8(1):25-8.