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    Commuting Involution Graphs in Classical Affne Weyl Groups

    Hart, Sarah and Clarke, A.S. (2018) Commuting Involution Graphs in Classical Affne Weyl Groups. Working Paper. Birkbeck, University of London, London, UK.

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    Abstract

    In this paper we investigate commuting involution graphs in classical affine Weyl groups. Let W be a classical Weyl group of rank n, with ~W its corresponding affine Weyl group. Our main result is that if X is a conjugacy class of involutions in ~W , then the commuting involution graph C( ~W ;X) is either disconnected or has diameter at most n + 2. This bound is known to hold for types A~n and C~n, so the main work of this paper is to prove the theorem for types ~Bn and ~Dn.

    Metadata

    Item Type: Monograph (Working Paper)
    Additional Information: Birkbeck Pure Mathematics Preprint Series #42
    School: School of Business, Economics & Informatics > Economics, Mathematics and Statistics
    Research Centres and Institutes: Applied Macroeconomics, Birkbeck Centre for
    Depositing User: Administrator
    Date Deposited: 22 Mar 2019 09:58
    Last Modified: 22 Jul 2020 02:02
    URI: http://eprints.bbk.ac.uk/id/eprint/26788

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