31 research outputs found

    Twisted Conjugacy Classes in Lattices in Semisimple Lie Groups

    Full text link
    Given a group automorphism ϕ:Γ→Γ\phi:\Gamma\to \Gamma, one has an action of Γ\Gamma on itself by ϕ\phi-twisted conjugacy, namely, g.x=gxϕ(g−1)g.x=gx\phi(g^{-1}). The orbits of this action are called ϕ\phi-conjugacy classes. One says that Γ\Gamma has the R∞R_\infty-property if there are infinitely many ϕ\phi-conjugacy classes for every automorphism ϕ\phi of Γ\Gamma. In this paper we show that any irreducible lattice in a connected semi simple Lie group having finite centre and rank at least 2 has the R∞R_\infty-property.Comment: 6 page

    Disappearance of Plant Material Under a Winter Snow Cover

    No full text
    Disappearance of plant material from fine—mesh nylon bags occurred during the late fall, winter, or early spring when mountain ranges in central Utah are generally snow covered. Quantitative loss of matter from leaves and stems of two grasses and two broad—leaved forbs was mostly attributed to decomposition by fungi and bacteria and to leaching. Loss of material from bags in direct contact with the snow cover during two consecutive winter periods averaged 30% for the relatively coarse Agropyron trachycaulum, 39% for Bromus inermis, 48% for Lupinus alpestris, and 51% for Mertensia arizonica var, leonardi. The ratio of leaf to stem weights decreased with all aspects
    corecore