Hart, Sarah and Kelsey, V. and Rowley, P. (2021) Generating finite Coxeter groups with elements of the same order. Turkish Journal of Mathematics 45 (6), pp. 2623-2645. ISSN 1300-0098.
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Abstract
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 work of Garzoni and Yu, this determines d_k(G) for all finite irreducible Coxeter groups G when k is between 2 and rank(G) (or rank(G)+1 when G is of type A_n).
Metadata
| Item Type: | Article |
|---|---|
| School: | Birkbeck Faculties and Schools > Faculty of Science > School of Computing and Mathematical Sciences |
| Depositing User: | Sarah Hart |
| Date Deposited: | 11 Nov 2021 15:52 |
| Last Modified: | 13 Jun 2025 18:46 |
| URI: | https://eprints.bbk.ac.uk/id/eprint/46350 |
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