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For each positive integer n, let Fn be a free group of rank n with basis (in other words, free generating set) {x1, �, xEM>n>} . If [theta] is an automorphism of <EM>Fn> then {<EM>x>1[theta], �, ...
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It is a classical result of Postnikov [15] that homotopy types X with at most two non-trivial homotopy groups [pi]mX = A and [pi]n<EM>X> = <EM>B>, 2 [less-than-or-eq, slant] <EM>m> < <EM>n>, are classified by the ...
The theory of reductive monoids has been well developed by Renner and the author, cf. [8, 13]. This paper concerns the finite reductive monoids MF where M is a reductive monoid and F[ratio]MEM>[rightward arrow]<EM>M> is a Frobenius map. We show that the Deligne-Lusztig characters ...
We compute the (uni)versal deformation ring of an odd Galois representation [rho]: Gal (M/Q) [rightward arrow] Gl2(Fp) with an upper triangular image, where MEM> is the maximal abelian pro-<EM>p>-extension of <EM>F>[infty infinity] unramified outside a finite set of places ...
EMS Review A review of the Wallops EMS, following EMS audit principles and .... accordance with WFF-EM-002, Wallops EMS Training Manual, located at: ...
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The low-Reynolds-number collision and rebound of two rigid spheres moving in an ideal isothermal gas is studied in the lubrication limit. The spheres are non-Brownian in nature with radii much larger than the mean-free path of the molecules. The nature of the flow in the gap between the particles depends on the relative magnitudes of the minimum gap thickness, h[prime prime or minute]o, the ...
Stably stratified flows past three-dimensional orography have been investigated using a stratified towing tank. Flows past idealized axisymmetric orography in which the Froude number, Fh=U/Nh (where U is the towing speed, N is the buoyancy frequency and hEM> is the height of the obstacle) is less than unity have been studied. The orography considered consists of two ...
We show that the sequence 2n+n is a universal Hilbert sequence. That is, for each polynomial P(T, Y) irreducible in [open face Q](T) [YEM>], the polynomial <EM>P>(2<EM>n+n>, <EM>Y>) is irreducible in [open face ...
For E a subset of [open face R]n and s [set membership] [0, n] we define upper and lower box dimension profiles, B-dims<EM>E> and B-dim<EM>sE> respectively, that are closely related to the box dimensions of the orthogonal projections of <EM>E> onto ...
Let M be a compact, orientable 3-manifold with [partial partial differential]M a torus. If r is a slope on [partial partial differential]M (the isotopy class of an unoriented essential simple loop), then we can form the closed 3-manifold M(r) by gluing a solid torus V<EM>r> to <EM>M> along their boundaries in such a way that ...
