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Date: 2007-07-31 15:33:36 Separable extension Field extension Galois group Galois extension Normal extension Field Algebraic extension Finite field Splitting field Abstract algebra Algebra Field theory		Add to Reading List Source URL: www.math.harvard.edu Download Document from Source Website File Size: 31,62 KB Share Document on Facebook

	Galois sections for abelian varieties over number fields MIRELA ÇIPERIANI AND JAKOB STIX Abstract — For an abelian variety A over a number field k we discuss the space of sections of its fundamental group extension π DocID: 1valc - View Document
	GALOIS THEORY AT WORK: CONCRETE EXAMPLES KEITH CONRAD 1. Examples √ √ Example 1.1. The field extension Q( 2, 3)/Q is Galois of degree 4, so its Galois√group DocID: 1uWWM - View Document
	QUALIFYING EXAMINATION Harvard University Department of Mathematics Tuesday SeptemberDaya) Prove that the Galois group G of the polynomial X 6 + 3 over Q is of order 6. DocID: 1uDH1 - View Document
	LIFTING GLOBAL REPRESENTATIONS WITH LOCAL PROPERTIES BRIAN CONRAD 1. Introduction Let k be a global field, with Galois group Gk and Weil group Wk relative to a choice of separable closure ks /k. Let Γ be either Gk or Wk DocID: 1ut6b - View Document
	QUALIFYING EXAMINATION Harvard University Department of Mathematics Tuesday SeptemberDaya) Prove that the Galois group G of the polynomial X 6 + 3 over Q is of order 6. DocID: 1u7Ip - View Document