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Displaying 2401 – 2420 of 2730

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Unitary groups acting on hyperbolic substructures

M. Alessandra Vaccaro (2005)

Bollettino dell'Unione Matematica Italiana

Given a quadratic extension L/K of fields and a regular λ-Hermitian space (V, h) of finite dimension over L, we study the orbits of the group of isometries of (V, h) in the set of hyperbolic K-substructures of V.

[unknown]

Thomas Morzadec (0)

Annales de l’institut Fourier

Urysohn universal spaces as metric groups of exponent 2

Piotr Niemiec (2009)

Fundamenta Mathematicae

The aim of the paper is to prove that the bounded and unbounded Urysohn universal spaces have unique (up to isometric isomorphism) structures of metric groups of exponent 2. An algebraic-geometric characterization of Boolean Urysohn spaces (i.e. metric groups of exponent 2 which are metrically Urysohn spaces) is given.

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