J. Min'ac, M. Spira, Witt rings and Galois groups, Ann. Math. 144, (1996), 35-60. Home/Search Document Not in Database Summary Related Articles Check |
This paper is cited in the following contexts:
Galois Groups Over Nonrigid Fields - Gao, Leep, Minac, Smith (Correct)
....Denote Gal(F (3) F ) by G [3] F . Thus F F (2) F (3) F f3g and F (2) F , F (3) F , F f3g =F are each Galois extensions. The groups G [3] F , G [2] F are quotients of G f3g F . For the connection between G [3] F and the Witt ring of quadratic forms over F , see [MSp]. Lemma 2.4. 1. The group G f3g F has exponent dividing 4. 4 WENFENG GAO, DAVID B. LEEP, J AN MIN A C, AND TARA L. SMITH 2. For each oe; 2 G f3g F , the commutator [oe; has order dividing 2, and [oe; oe] 3. All commutators and squares in G f3g F commute with each ....
J. Min'ac, M. Spira, Witt rings and Galois groups, Ann. Math. 144, (1996), 35-60.
Field Theory And The Cohomology Of Some Galois Groups - Alejandro Adem (Correct)
....severely restrict possible absolute Galois groups of fields and it seems virtually certain that they will have purely field theoretic consequences. Such results are not easily derived, however, and in fact only a few theorems of this type have appeared (for some examples the reader may consult [18, 24, 30]) The goal of this paper is to obtain some results in field theory as consequences of Merkurjev s theorem [23] The techniques we use are somewhat varied; for example, we study the square class group of a field as a module for a Galois group and relate its socle series to the E 1;1 1 term of a ....
....characteristic is not 2. We write F (2) for the field obtained by adjoining all the square roots of elements of F . Now let F f3g = F (2) 2) and Gal(F (2) F ) G [2] F . We introduce the following definition: the V group of F is the Galois group G f3g F = Gal(F f3g =F ) In [24] Min ac and Spira defined an extension of F whose Galois group is closely related to the Witt ring of F . Let F (3) be the extension of F (2) obtained by adjoining the square roots of elements ff 2 F (2) such that F (2) p ff) is Galois over F . F (3) is a Galois extension of F and we ....
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Min'ac, J. and Spira, M. Witt Rings and Galois Groups, Annals of Mathematics 144 (1996), pp. 35--60.
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