Generating finite Coxeter groups with elements of the same order
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 |
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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: | 09 Aug 2023 12:52 |
URI: | https://eprints.bbk.ac.uk/id/eprint/46350 |
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