On the topological invariants \(\Sigma^1_{top}\) and \(\Sigma^2_{top}\) for extensions of (Lie groups over a \(p\)-adic field)-by-abelian groups

DOI10.1016/j.jalgebra.2004.08.018zbMath1059.22003OpenAlexW1981438625WikidataQ115351704 ScholiaQ115351704MaRDI QIDQ1770515

Dessislava H. Kochloukova

Publication date: 7 April 2005

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2004.08.018

zbMATH Keywords

locally compact groupgeometric invariantcompactly presented solvable groupsfinitely presented \(S\)-arith\-metic groups

Mathematics Subject Classification ID

Geometric group theory (20F65) Homology and cohomology of Lie groups (57T10) General properties and structure of locally compact groups (22D05)

Cites Work

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• Presentations for groups acting on simply-connected complexes
• Finite presentability of S-arithmetic groups. Compact presentability of solvable groups
• A geometric invariant of discrete groups
• Valuations on free resolutions and higher geometric invariants of groups
• Actions on 2-complexes and the homotopical invariant \(\Sigma^ 2\) of a group
• Compactness properties of locally compact groups
• Groupes reductifs
• More about the geometric invariants ∑ m (G) and ∑ m (G, ℤ) for groups with normal locally polycyclic-by-finite subgroups
• Subgroups of constructive nilpotent-by-abelian groups and a generalization of a result of Bieri, Neumann and Strebel
• Erzeugende und Relationen verallgemeinerter Einheitengruppen.

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