On fields with finite Brauer groups
نویسندگان
چکیده
منابع مشابه
On Fields with Finite Brauer Groups
Let K be a field of characteristic 6= 2, let Br(K)2 be the 2primary part of its Brauer group, and let GK(2) = Gal(K(2)/K) be the maximal pro-2 Galois group of K. We show that Br(k)2 is a finite elementary abelian 2-group (Z/2Z), r ∈ N, if and only if GK(2) is a free pro-2 product of a closed subgroup H which is generated by involutions and of a free pro-2 group. Thus, the fixed field of H in K(...
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ژورنال
عنوان ژورنال: Pacific Journal of Mathematics
سال: 1997
ISSN: 0030-8730
DOI: 10.2140/pjm.1997.177.33