Now showing items 1-2 of 2

• #### Generating Finite Coxeter Groups with Elements of the Same Order ﻿

[OWP-2020-07] (Mathematisches Forschungsinstitut Oberwolfach, 2020-03-16)
Supposing $G$ is a group and $k$ a natural number, $d_k(G)$ is defined to be the minimal number of elements of $G$ of order $k$ which generate $G$ (setting $d_k(G) = 0$ if $G$ has no such generating sets). This paper ...
• #### Root Cycles in Coxeter Groups ﻿

[OWP-2022-16] (Mathematisches Forschungsinstitut Oberwolfach, 2022-09-15)
For an element $w$ of a Coxeter group $W$ there are two important attributes, namely its length, and its expression as a product of disjoint cycles in its action on $\Phi$, the root system of $W$. This paper investigates ...