Quadratic fields with infinite Hilbert 2-class field towers
Frank Gerth III (2003)
Acta Arithmetica
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Frank Gerth III (2003)
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The purpose of this paper is to give an illustration of results on integrability of distributions and orbits of vector fields on Banach manifolds obtained in [5] and [4]. Using arguments and results of these papers, in the context of a separable Hilbert space, we give a generalization of a Theorem of accessibility contained in [3] and [6] for articulated arms and snakes in a finite dimensional Hilbert space.