Static solutions of the Einstein-Yang-Mills-Higgs system containing extreme black holes are studied. The field equations imply strong restrictions on boundary values of all fields at the horizon. If the Yang-Mills radial electric field E is non-zero there, then all fields at the horizon take values in the centralizer of E. For the particular case of SU(3), there are two different kinds of centr...

This is the first of two papers determining saturated 2-fusion systems in which centralizer some fully centralized involution contains a component that system large group Lie type over field odd order.

We classify all factors of the Cartesian product of any two nonsingular type III , 0 < < 1, or II1, Chacon transformations, as well as the centralizer of nite Cartesian products of such transformations. AMS 1991 subject classi cation: 28D99.

In a recent paper,1 K. Asano gave a new proof of the theorem that a domain of integrity has a right quotient ring if and only if every pair of nonzero elements has a common nonzero right multiple. His method of proof is used in the present work to extend the centralizer of a ring over a module to a system of semi-endomorphisms of the module. From this extension, necessary and sufficient conditi...

We prove the first case of polynomially effective equidistribution of closed orbits of semisimple groups with nontrivial centralizer. The proof relies on uniform spectral gap, builds on, and extends work of Einsiedler, Margulis, and Venkatesh.

The reverse push-the-bit rotary steerable method based on the principle of a “labor-saving lever” provides feasible technical solution for further improving trajectory control ability drilling system, prolonging system’s service life and increasing speed. In order to reveal working characteristics such deeply, influence key structural parameters system its is studied finite element method. resu...