Maximal torsion-free subgroups of certain lattices of hyperbolic buildings and Davis complexes
We give an explicit construction of a maximal torsion-free finite-index subgroup of a certain
type of Coxeter group. The subgroup is constructed as the fundamental group of a finite and …
type of Coxeter group. The subgroup is constructed as the fundamental group of a finite and …
On regular CAT (0) cube complexes
N Lazarovich - arXiv preprint arXiv:1411.0178, 2014 - arxiv.org
We provide a necessary and sufficient condition on a finite flag simplicial complex, L, for
which there exists a unique CAT (0) cube complex whose vertex links are all isomorphic to …
which there exists a unique CAT (0) cube complex whose vertex links are all isomorphic to …
On regular CAT (0) cube complexes and the simplicity of automorphism groups of rank-one CAT (0) cube complexes
N Lazarovich - Commentarii Mathematici Helvetici, 2018 - ems.press
We provide a necessary and sufficient condition on a finite flag simplicial complex L for
which there exists a unique CAT (0) cube complex whose vertex links are all isomorphic to …
which there exists a unique CAT (0) cube complex whose vertex links are all isomorphic to …
Characterising vertex-star transitive and edge-star transitive graphs
Recent work of Lazarovich provides necessary and sufficient conditions on a graph L for
there to exist a unique simply-connected (k, L)-complex. The two conditions are symmetry …
there to exist a unique simply-connected (k, L)-complex. The two conditions are symmetry …
Automorphism groups of combinatorial structures
A Thomas - 2016 MATRIX Annals, 2018 - Springer
Automorphism Groups of Combinatorial Structures Page 1 Automorphism Groups of
Combinatorial Structures Anne Thomas Abstract This is a series of lecture notes taken by …
Combinatorial Structures Anne Thomas Abstract This is a series of lecture notes taken by …
Characterising star-transitive and st (edge)-transitive graphs
Recent work of Lazarovich provides necessary and sufficient conditions on a graph L for
there to exist a unique simply-connected (k, L)-complex. The two conditions are symmetry …
there to exist a unique simply-connected (k, L)-complex. The two conditions are symmetry …
[PDF][PDF] Universal groups for right-angled buildings
AF Costa da Silva - 2017 - biblio.ugent.be
Four years of research are never possible to do alone. Therefore I cannot consider my
dissertation to be complete without expressing my enormous gratitude to all the people that …
dissertation to be complete without expressing my enormous gratitude to all the people that …
A family of uniform lattices acting on a Davis complex with a non-discrete set of covolumes
D Sercombe - arXiv preprint arXiv:1511.09286, 2015 - arxiv.org
Let $(W, S) $ be a Coxeter system with Davis complex $\Sigma $. The polyhedral
automorphism group $ G $ of $\Sigma $ is a locally compact group under the compact-open …
automorphism group $ G $ of $\Sigma $ is a locally compact group under the compact-open …