Pairs of valuations and the geometry of soluble groups

2009/07/31 by Andrew D. Warshall, Warshall, Andrew D.
Mathematics · #20F16 (Primary) #20F65 (Secondary) #Advanced Operator Algebra Research #FOS: Mathematics #Geometric and Algebraic Topology #Group Theory (math.GR) #Homotopy and Cohomology in Algebraic Topology #math.GR #msc:20F16 #msc:20F65

paper · pdf · doi:10.48550/arxiv.0907.5579

10 pages

arxiv created 2009/07/31 · openalex publication_date 2009/07/31 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We introduce the concepts of a pair of valuations and a good generating set and show how they can be used to prove geometric properties of soluble groups.

Related

• Valuations from representation theory and tropical geometry
• Strongly t-logarithmic t-generating sets: Geometric properties of some soluble groups
• Equations over valued groups
• Arbeitsgemeinschaft: Geometric Representation Theory
• Localizations of finitely generated soluble groups