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    Root differences for A n

    Bates, C. and Bundy, D. and Perkins, Sarah and Rowley, P. and Hart, Sarah (2005) Root differences for A n. Archiv der Mathematik 85 (4), pp. 313-317. ISSN 0003-889X.

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    Suppose W is a Weyl group with Φ = Φ(W) a root system of W. The set D of root differences is given by D = {α − β : α, β, ∈ Φ}. We define t(Φ) to be the maximum exponent of the torsion subgroup of ZΦ/ZC, for any C⫅D. In this article we show that if W is of type A n , then t(Φ) = 2n.


    Item Type: Article
    Additional Information: Perkins is the maiden name of Sarah Hart.
    School: Birkbeck Faculties and Schools > Faculty of Science > School of Computing and Mathematical Sciences
    Depositing User: Sarah Hall
    Date Deposited: 30 Jun 2020 07:41
    Last Modified: 09 Aug 2023 12:48


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