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    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
    School: School of Business, Economics & Informatics > Economics, Mathematics and Statistics
    Depositing User: Sarah Hart
    Date Deposited: 11 Nov 2021 15:52
    Last Modified: 24 Jan 2022 17:59
    URI: https://eprints.bbk.ac.uk/id/eprint/46350

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