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    Hypercubes as dessins d'enfant

    Fairbairn, Ben (2015) Hypercubes as dessins d'enfant. Technical Report. Birkbeck, University of London, London, UK.

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    Abstract

    We describe the action of the group GL2(Z) on embeddings of hypercubes on compact orientable surfaces, specifically classifying the elements of finite order that can change the genus of the underlying surface by an arbitrarily large amount. In doing so we give an explicit illustration of the kind of computations encountered in the study of dessins d'enfants in the hope that those new to the area may find such an explicit example useful.

    Metadata

    Item Type: Monograph (Technical Report)
    Additional Information: Birkbeck Pure Mathematics Preprint Series #9
    School: School of Business, Economics & Informatics > Economics, Mathematics and Statistics
    Depositing User: Administrator
    Date Deposited: 22 Mar 2019 13:18
    Last Modified: 22 Jul 2020 03:10
    URI: https://eprints.bbk.ac.uk/id/eprint/26723

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