Every reasonably sized matrix group is a subgroup of $S_∞$

DOI10.4064/fm-164-1-35-40zbMath0967.20002OpenAlexW1031265937MaRDI QIDQ4522446

Robert R. Kallman

Publication date: 29 May 2001

Published in: Fundamenta Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/212446

zbMATH Keywords

general linear groupsembeddingsprojective special linear groupsinfinite symmetric group

Mathematics Subject Classification ID

Structure of general topological groups (22A05) Linear algebraic groups over arbitrary fields (20G15) Subgroup theorems; subgroup growth (20E07) Non-Archimedean valued fields (12J25) Subgroups of symmetric groups (20B35)

Related Items (10)

Lie groups as permutation groups: Ulam's problem in the nilpotent case ⋮ Strong uncountable cofinality for unitary groups of von Neumann algebras ⋮ Lie groups in the symmetric group: reducing Ulam's problem to the simple case ⋮ There are no exotic actions of diffeomorphism groups on 1-manifolds ⋮ Bounded normal generation and invariant automatic continuity ⋮ On small abstract quotients of Lie groups and locally compact groups ⋮ Polish groups and Baire category methods ⋮ On strongly just infinite profinite branch groups ⋮ Invariant automatic continuity for compact connected simple Lie groups ⋮ Automatic continuity for the unitary group

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