论文标题
Coxeter组漏洞的对数凸的组合证明
Combinatorial proof of the log-convexity for the derangements in the Coxeter groups
论文作者
论文摘要
我们为对称组$ \ mathfrak {s} _n $，HyperoctaHeDral Group $ \ Mathfrak {B} _n $和demihyperoctoctoctoctoctoctahedral Group $ \ Mathfrak $ \ Mathfrak {D} _n $提供了对称组$ \ Mathfrak {S} _n $中的drangement数字的组合证明的组合证明。我们还表明，$ \ mathfrak {s} _n $和$ \ mathfrak {b} _n $中的偶数和奇数漏斗号的序列是log-convex。
We provide the combinatorial proofs of the log-convexity for the derangement numbers in the symmetric group $\mathfrak{S}_n$, hyperoctahedral group $\mathfrak{B}_n$, and the demihyperoctahedral group $\mathfrak{D}_n$. We also show that the sequences of the even and odd derangement numbers in $\mathfrak{S}_n$ and $\mathfrak{B}_n$ are log-convex.
