论文标题
$ n_ \ infty $ oprads $ c_ {qp^n} $和$ d_ {p^n} $的组合
The combinatorics of $N_\infty$ operads for $C_{qp^n}$ and $D_{p^n}$
论文作者
论文摘要
我们提供了一种通用递归方法,用于在有限晶格上构建转移系统。使用此功能,我们计算二面体组的$ n_ \ infty $ oprads $ d_ {p^n} $,$ p> 2 $ prime和循环组$ c_ {qp^n} $,$ p \ neq q $ prime的数量。然后,我们进一步展示了通过限制在某些同质上有意义的$ n_ \ infty $ oprads获得的一些美丽的组合物。
We provide a general recursive method for constructing transfer systems on finite lattices. Using this we calculate the number of homotopically distinct $N_\infty$ operads for dihedral groups $D_{p^n}$, $p > 2$ prime, and cyclic groups $C_{qp^n}$, $p \neq q$ prime. We then further display some of the beautiful combinatorics obtained by restricting to certain homotopically meaningful $N_\infty$ operads for these groups.