论文标题
有限的对称组中的最小最小生成集
Large minimal invariable generating sets in the finite symmetric groups
论文作者
论文摘要
对于有限的组$ g $，让$ m_i（g）$表示最小的不变生成套件的基数最大的$ g $。我们证明了$ m_i（s_n）$的上限和下限，特别表明$ m_i（s_n）$渐近为$ n/2 $，为$ n \ rightarrow \ rightarrow \ rightarrow \ infty $。
For a finite group $G$, let $m_I(G)$ denote the largest possible cardinality of a minimal invariable generating set of $G$. We prove an upper and a lower bound for $m_I(S_n)$, which show in particular that $m_I(S_n)$ is asymptotic to $n/2$ as $n\rightarrow \infty$.
