论文标题
最大循环亚组和$ p $ -groups的nilpotence类的结合类别
Conjugacy classes of maximal cyclic subgroups and nilpotence class of $p$-groups
论文作者
论文摘要
在本文中，我们将$η（g）$设置为$ g $的最大循环亚组的结合类数量。我们证明，如果$ g $是$ p $ - 订单$ p^n $和nilpotence class $ l $，则$η（g）$在下面由$ n/l $的线性函数限制。
In this paper, we set $η(G)$ to be the number of conjugacy classes of maximal cyclic subgroups of $G$. We prove that if $G$ is a $p$-group of order $p^n$ and nilpotence class $l$, then $η(G)$ is bounded below by a linear function in $n/l$.
