Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8897242 | Journal of Pure and Applied Algebra | 2019 | 20 Pages |
Abstract
This paper determines the Brauer p-dimension Brdp(K) and the absolute Brauer p-dimension abrdp(K) of a Henselian valued field (K,v), for a prime pâ char(KË), under restrictions on the residue field KË, such as the condition abrdp(KË)=0. It describes the set Σ0 of sequences abrdp(E),Brdp(E), pâP, where P is the set of prime numbers and E runs across the class of Henselian fields with char(EË)=0 and a projective absolute Galois group GEË. Specifically, Σ0 contains a sequence ap,bpâNâª{0,â}, pâP, whenever a2â¤2b2 and apâ¥bp, for each p. Similar results are obtained in characteristic q>0.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Ivan D. Chipchakov,