Some Galois extensions of quadratic extensions associated with Witt rings

2001/10/25 by Wenfeng Gao, Gao, Wenfeng, Ján Mináč +1
Mathematics · #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric and Algebraic Topology #Group Theory (math.GR) #Homotopy and Cohomology in Algebraic Topology #Rings and Algebras (math.RA)

paper · pdf · doi:10.48550/arxiv.math/0110284

openalex publication_date 2001/10/25 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

A Galois field extension E/F whose Galois group is a pro-2-group of an exponent of at most 8, with a nilpotency class of at most 4, is determined, such that it contains essential information about the Witt rings of all quadratic extensions of F.

Related

• Field theory and the Cohomology of Some Galois Groups
• Description of Galois unipotent extensions
• Witt kernels of quadratic forms for multiquadratic extensions in characteristic 2
• Combinatorial Techniques in the Galois Theory of p-Extensions
• Witt kernels and Brauer kernels for quartic extensions in characteristic two