Metric ultraproducts of finite simple groups

DOI10.1016/j.crma.2014.03.015zbMath1323.22003arXiv1402.0341OpenAlexW2962901485WikidataQ61677658 ScholiaQ61677658MaRDI QIDQ460706

Andreas Thom, John S. Wilson

Publication date: 14 October 2014

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.0341

zbMATH Keywords

ultraproduct of alternating groupsultraproduct of finite simple classical groups

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) Asymptotic properties of groups (20F69) Simple groups: alternating groups and groups of Lie type (20D06) Topological and differentiable algebraic systems (22A99)

Related Items (5)

Some geometric properties of metric ultraproducts of finite simple groups ⋮ An exotic group as limit of finite special linear groups ⋮ Some remarks on finitarily approximable groups ⋮ Metric ultraproducts of classical groups ⋮ Isomorphism questions for metric ultraproducts of finite quasisimple groups

Cites Work

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• Application des ultraproduits à l'étude des espaces et des algèbres de Banach
• On the lattice of normal subgroups in ultraproducts of compact simple groups
• Hyperlinear and Sofic Groups: A Brief Guide

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