Some Involutions which Generate the Finite Symmetric Group

Authors : Leyla BUGAY

Pages : 25-28

Doi:10.36753/mathenot.608443

View : 24 | Download : 9

Publication Date : 2020-03-20

Article Type : Research Paper

Abstract :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 insert ignore into journalissuearticles values(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.
Keywords : Symmetric group, involution, generating set

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