Finitely presented simple groups and measure equivalence
From MaRDI portal
Publication:6107846
DOI10.4064/cm8610-11-2022zbMath1522.20116arXiv2101.09071MaRDI QIDQ6107846
Publication date: 28 June 2023
Published in: Colloquium Mathematicum (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2101.09071
Coxeter groupsbuildingsinfinite simple groupsmeasure equivalence\(L^2\)-Betti numbersfinite presentationcohomological finiteness
Simple groups (20E32) Generators, relations, and presentations of groups (20F05) Cohomology of groups (20J06) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Homological methods in group theory (20J05) Groups with a (BN)-pair; buildings (20E42)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- \(L^2\)-Betti numbers of locally compact groups
- Uniqueness and presentation of Kac-Moody groups over fields
- Subspace arrangements and property T.
- Simplicity and superrigidity of twin building lattices.
- Finiteness conditions on groups and quasi-isometries
- Cohomology of buildings and of their automorphism groups.
- Simple groups separated by finiteness properties
- Constructing finitely presented simple groups that contain Grigorchuk groups
- \(\ell^2\) invariants of equivalence relations and groups
- Curvature criterion for vanishing of group cohomology
- Abstract simplicity of non-affine Kac-Moody groups.
- p-adic curvature and the cohomology of discrete subgroups of p-adic groups
- On a đ-adic vanishing theorem of Garland
- Présentations de certaines BN-paires jumelées comme sommes amalgamées
- L2-Betti number of discrete and non-discrete groups
- Vanishing of $\ell ^2$-Betti numbers of locally compact groups as an invariant of coarse equivalence
- Lattices in product of trees
- Non-distortion of twin building lattices.
This page was built for publication: Finitely presented simple groups and measure equivalence