51,079 research outputs found

    The subgroup growth spectrum of virtually free groups

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    For a finitely generated group Γ\Gamma denote by μ(Γ)\mu(\Gamma) the growth coefficient of Γ\Gamma, that is, the infimum over all real numbers dd such that sn(Γ)<n!ds_n(\Gamma)<n!^d. We show that the growth coefficient of a virtually free group is always rational, and that every rational number occurs as growth coefficient of some virtually free group. Moreover, we describe an algorithm to compute μ\mu

    Determination of Net Accumulations from Gross Beta Activity Measurements in the North Water Region

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    Endogenous Preemption on Both Sides of a Market

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    We study a market in which both buyers and sellers can decide to preempt and set their quantities before market clearing.Will this lead to preemption on both sides of the market, only one side of the market, or to no preemption at all?We find that preemption tends to be asymmetric in the sense that it is restricted to only one side of the market (buyers or sellers).preemption;endogenous timing
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