Generating finite Coxeter groups with elements of the same order
| Autor: | Sarah HART, Veronica KELSEY, Peter ROWLEY |
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| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: | |
| ISSN: | 1300-0098 |
| Popis: | 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 investigates $d_k(G)$ when $G$ is a finite Coxeter group either of type $B_n$ or $D_n$ or of exceptional type. Together with Garzoni [3] and Yu [10], this determines $d_k(G)$ for all finite irreducible Coxeter groups $G$ when 2$ \leq k \leq$rank$(G)$ (rank$(G) + 1$ when $G$ is of type $A_n$). Oberwolfach Preprints;2020,07 |
| Databáze: | OpenAIRE |
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