Approximating Absolute Galois Groups

2022/02/01 by Gunnar Carlsson, Carlsson, Gunnar, Roy Joshua⋆ +1
Mathematics · #20E18 #20F99 #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics #Group Theory (math.GR) #Homotopy and Cohomology in Algebraic Topology #K-Theory and Homology (math.KT)

paper · pdf · doi:10.48550/arxiv.2202.00219

openalex publication_date 2022/02/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This paper formulates a group condition which is enjoyed by absolute Galois groups, and which guarantees that profinite groups satisfying the condition can be approximated as an inverse limit of groups which are profinite analogues of Bieberbach groups. The condition is a key ingredient in the study of the "representational assembly" approach to descent problems in algebraic K-theory.

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