Chief factors in Polish groups

DOI10.1017/S0305004121000505OpenAlexW3174724058MaRDI QIDQ5097472

François Le Maître, Colin D. Reid, Phillip R. Wesolek

Publication date: 24 August 2022

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.00719

zbMATH Keywords

Polish spacesoclePolish groupmonolithicweak typenormal compressioninternal compressionnormal factorsemisimple typechief blockgeneralized central factorisationgeneralized central productlocal direct powerlocal direct productstacking typestrict semisimple typetopologically perfect

Mathematics Subject Classification ID

Structure of general topological groups (22A05) Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets) (54H05)

Related Items (1)

Decomposition of locally compact coset spaces

Cites Work

• On Polish groups of finite type
• The essentially chief series of a compactly generated locally compact group
• On surjectively universal Polish groups
• On the simplicity of the full group of ergodic transformations
• Commutateurs dans le groupe unitaire d'un facteur
• Borel subgroups of Polish groups
• Decomposing locally compact groups into simple pieces
• Dense normal subgroups and chief factors in locally compact groups
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