Normal subgroups of SimpHAtic groups

DOI10.1142/s1793525321500515zbMath1526.20064arXiv1501.00951OpenAlexW3203651466MaRDI QIDQ6061021

Damian Osajda

Publication date: 30 October 2023

Published in: Journal of Topology and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.00951

zbMATH Keywords

normal subgrouptopology at infinitysystolic groupasymptotic asphericitySimpHAtic complexesSimpHAtic groups

Mathematics Subject Classification ID

Geometric group theory (20F65) Topological methods in group theory (57M07) Hyperbolic groups and nonpositively curved groups (20F67)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Lifting group actions, equivariant towers and subgroups of non-positively curved groups.
• Groups acting simply transitively on the vertices of a building of type \(\tilde A_ 2\). I
• Simplicial nonpositive curvature
• Flats and the flat torus theorem in systolic spaces.
• The accessibility of finitely presented groups
• On local convexity in graphs
• End invariants of group extensions
• Normal subgroups in duality groups and in groups of cohomological dimension 2
• On groups of type \((FP)_\infty\)
• On \(L^2\)-cohomology and property (T) for automorphism groups of polyhedral cell complexes
• Cohomology of buildings and of their automorphism groups.
• Hyperbolic Coxeter groups of large dimension.
• Tree lattices. With appendices by H. Bass, L. Carbone, A. Lubotzky, G. Rosenberg, and J. Tits.
• Classifying spaces for families of subgroups for systolic groups
• Hyperbolic extensions of groups
• A construction of hyperbolic Coxeter groups.
• Graphs of some CAT(0) complexes
• Connectedness at infinity of systolic complexes and groups.
• Filling invariants of systolic complexes and groups.
• Ideal boundary of 7-systolic complexes and groups.
• Problems on automorphism groups of nonpositively curved polyhedral complexes and their lattices
• Bounding the homological finiteness length
• Finitely presented subgroups of systolic groups are systolic
• Fundamental pro-groups and Gromov boundaries of 7-systolic groups
• Conditions for invariance of set diameters under d-convexification in a graph
• Accessibility and Groups of Cohomological Dimension One
• Cohomology and the Behaviour at Infinity of Finitely Presented Groups
• On asymptotically hereditarily aspherical groups
• Compactly supported cohomology of systolic 3-pseudomanifolds
• Dismantlability of weakly systolic complexes and applications

This page was built for publication: Normal subgroups of SimpHAtic groups