Fundamental domains for congruence subgroups of SL2 in positive characteristic

Lisa Carbone, Leigh Cobbs, Scott Murray

    Research output: Contribution to journalArticle

    3 Citations (Scopus)

    Abstract

    In this work, we construct fundamental domains for congruence subgroups of SL2(F-q[t]) and PGL(2)(F-q[t]). Our method uses Gekeler's description of the fundamental domains on the Bruhat-Tits tree X = Xq+1 in terms of cosets of subgroups. We compute the fundamental domains for a number of congruence subgroups explicitly as graphs of groups using the computer algebra system Magma
    Original languageEnglish
    Pages (from-to)431-439
    Number of pages9
    JournalJournal of Algebra
    Volume325
    Issue number1
    DOIs
    Publication statusPublished - 2011

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