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Showing 1 to 3 of 3 for “"Algebraic Extensions"”.
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Dual Pairs and Disconnected Reductive Groups
… the possible disconnected complex reductive algebraic groups E with component group Γ = E/E₀. We show that there is a natural bijection between such groups E and algebraic extensions of Γ by Z(E₀). Finally, in the last part of this thesis we classify the reductive dual pairs in P GL(n, C). …
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A Fundamental Unit of O_K
<p>In the classical case we make use of Pells equation to compute units in the ring O<sub>F. </sub> Consider the parallel to the classical case and the quadratic field extension that creates the ring O<sub>K</sub>. We use the generalized Pell's equation to find the units in this ring since they are …
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Automatización e implementación de algunos problemas algebráicos y geométricos
… a otras tres dadas). 4. Aplicación de métodos algebraicos (método de las bases de Groebner y método de seudodivisiones de Wu) a la automatización de un criterio de no-ramificación de ideales primos en extensiones algebraicas y a la demostración automática de un teorema original de Geometría …