论文标题
强烈生成有限和涂鸦组的元素
Strongly generating elements in finite and profinite groups
论文作者
论文摘要
鉴于有限的组$ g $和g $中的元素$ g \，我们可能会比较产生$ g $所需的预期数字$ e（g）$的元素和预期的$ e（g，g）$ e（g，g）$ g $所需的$ g $的元素与$ g $一起生成$ g $。
Given a finite group $G$ and an element $g\in G$, we may compare the expected number $e(G)$ of elements needed to generate $G$ and the expected number $e(G,g)$ of elements of $G$ needed to generate $G$ together with $g.$ We address the following question: how large can the difference $e(G)-e(G,g)$ be?
