Coxeter elements of the symmetric groups whose powers afford the longest

Masashi Kosuda

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arXiv · 1411.5761

Coxeter elements of the symmetric groups whose powers afford the longest

Masashi Kosuda

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Abstract

In this article, we first show that in case $n$ is even which Coxeter element in $\mathfrak{S}_{n}$ affords the longest by taking its power to $n/2$. We also show that in case $n$ is odd which Coxeter element affords the longest in $\mathfrak{S}_{n}$.

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Masashi Kosuda. 2014-11-21. Coxeter elements of the symmetric groups whose powers afford the longest. https://arxiv.org/abs/1411.5761

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