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    Topology of 3-manifolds and a class of groups

    S. K. Roushon
    ( Click here for pdf version )

    In this lecture we introduce a new class of groups which we call {\it adorable groups}. In short they are eventually perfect groups. We prove some basic results on these groups and state two conjectures. There is a direct application of one of the conjectures to the Betti number conjecture.