2017/08/28 by Colin D. Reid, Reid, Colin D.
Computer Science · Engineering · Mathematics · #Advanced Operator Algebra Research #Control and Stability of Dynamical Systems #FOS: Mathematics #Finite Group Theory Research #Geometric and Algebraic Topology #Group Theory (math.GR) #Matrix Theory and Algorithms #math.GR
paper · pdf · doi:10.48550/arxiv.1708.08301
19 pages
arxiv created 2017/08/28 · openalex publication_date 2017/08/28 · arxiv updated 2017/08/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We give criteria on an inverse system of finite groups that ensure the limit is just infinite or hereditarily just infinite. More significantly, these criteria are 'universal' in that all (hereditarily) just infinite profinite groups arise as limits of the specified form. This is a corrected and revised version of the article: 'Inverse system characterizations of the (hereditarily) just infinite property in profinite groups', Bull. LMS vol 44, 3 (2012) 413--425.