2012/07/30 by Ivan D. Chipchakov, Chipchakov, Ivan D.
Arts and Humanities · Mathematics · #12E15 #12F12 (Secondary) #12J10 (Primary) #16K50 #Algebraic Geometry and Number Theory #FOS: Mathematics #Finite Group Theory Research #Historical Studies and Socio-cultural Analysis #Rings and Algebras (math.RA)
paper · pdf · doi:10.48550/arxiv.1207.7120
openalex publication_date 2012/07/30 · openalex created_date 2025/10/24 · openalex updated_date 2026/07/28
This paper determines the Brauer p-dimension Brdp(K) and the absolute\nBrauer p-dimension abrdp(K) of a Henselian valued field (K, v), for a\nprime p \≠ rm char( widehat K), under restrictions on the residue field\n widehat K, such as the condition abrdp( widehat K) = 0. It describes\nthe set \Σ0 of sequences rm abrdp(E), rm Brdp(E), p \∈\n mathbb P, where mathbb P is the set of prime numbers and E runs across\nthe class of Henselian fields with char( widehat E) = 0 and a projective\nabsolute Galois group \G widehat E. Specifically, \Σ0\ncontains a sequence ap, bp \∈ mathbb N \∪ 0, \∞ , p \∈\n mathbb P, whenever a2 \≤ 2b2 and ap \≥ bp, for each p.\nSimilar results are obtained in characteristic q > 0.\n