Cohomology of buildings and of their automorphism groups
By J. Dymara, Tadeusz Januszkiewicz. 2002
129 citations recorded by the source corpus.
Subfields: Discrete Mathematics and Combinatorics, Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/16ca1122f57fabfbae465350abf6370722c5b2fe
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In Discrete Mathematics and Combinatorics
In Geometry and Topology
In Mathematical Physics
Citations in the corpus
- Factor and normal subgroup theorems for lattices in products of groups (2006, methodology): “We now elaborate briefly on the ingredients of the Proof of Theorem 1.5 already mentioned in the Introduction, referring to [R´ em03] for more details and relevant references (a quick introduction to Kac-Moody groups in the functorial approach of Tits used here, can also be found in the appendix to ”
- The Geometry and Topology of Coxeter Groups (2025, unknown): “The representations D̃T are defined by Dymara and Januszkiewicz in [110].”
- Simplicity and superrigidity of twin building lattices (2006, methodology): “[1] for finiteness properties, [ 30 ] for continuous cohomology, [65, §1] for some structural properties, etc.”
- FINITARY APPROXIMATIONS OF GROUPS AND THEIR APPLICATIONS (2017, background): “Higher dimensional vanishing phenomena have been studied in various articles, see for example [2, 3, 16, 45].”
- EXISTENCE OF LATTICES IN KAC–MOODY GROUPS OVER FINITE FIELDS (2003, result): “In contrast to this, in the higher rank case, results of Dymara and Januszkiewicz [10] [11] imply that certain Kac–Moody groups do have property T .”
- Cohomology computations for Artin groups, Bestvina-Brady groups, and graph products (2010, background): “locally finite buildings of very large thickness there is a complete calculation due to Dymara–Januszkiewicz [22].”