Decompositions of locally compact contraction groups, series and extensions

DOI10.1016/J.JALGEBRA.2020.11.007zbMath1480.22003arXiv1804.01267OpenAlexW3109194558MaRDI QIDQ827030

Helge Glöckner, George A. Willis

Publication date: 6 January 2021

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1804.01267

zbMATH Keywords

nilpotent groupextensionequivariant cohomologycocycleabelian groupisomorphism typestorsion groupsectioncontraction group

Mathematics Subject Classification ID

Cohomology of groups (20J06) Nilpotent groups (20F18) Automorphisms of infinite groups (20E36) Extensions, wreath products, and other compositions of groups (20E22) General properties and structure of locally compact groups (22D05)

Related Items (2)

A totally disconnected invitation to locally compact groups ⋮ Locally pro-\(p\) contraction groups are nilpotent

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The Mautner phenomenon for p-adic Lie groups
• Contractible Lie groups over local fields
• Lie algebras and Lie groups. 1964 lectures, given at Harvard University.
• Locally pro-\(p\) contraction groups are nilpotent
• Contractive automorphisms on locally compact groups
• Locally compact groups
• New Directions in Locally Compact Groups
• Classification of the simple factors appearing in composition series of totally disconnected contraction groups

This page was built for publication: Decompositions of locally compact contraction groups, series and extensions