4 citations · 10 across the 10 of their papers we have counts for
11 papers
Classification of Curtis-Tits and Phan amalgams with -spherical diagram
Rieuwert J. Blok, Corneliu G. Hoffman, Sergey V. Shpectorov
We classify all non-collapsing Curtis-Tits and Phan amalgams with -spherical diagram over all fields. In particular, we show that amalgams with spherical diagram are unique, a r…
Realizations and properties of -spherical Curtis-Tits Groups and Phan groups
Rieuwert J. Blok, Corneliu G Hoffman
In this note we establish the existence of all Curtis-Tits groups and Phan groups with -spherical diagram as classified previously and investigate some of their geometric and gr…
Curtis-Tits Groups of simply-laced type
Rieuwert J. Blok, Corneliu G. Hoffman
The classification of Curtis-Tits amalgams with {connected}, triangle free, simply-laced diagram over a field of size at least was completed in~\cite{BloHof2014b}. Orientable a…
-cohomology of simplicial amalgams of groups
Rieuwert J. Blok, Corneliu G. Hoffman
We develop a cohomological method to classify amalgams of groups. We generalize this to simplicial amalgams in any concrete category. We compute the non-commutative 1-cohomology fo…
Expander graphs from Curtis Tits groups
Rieuwert Blok, Corneliu Hoffman, Alina Vdovina
Using the construction of a nonorientable Curtis-Tits group of type , we obtain new explicit families of expander graphs of valency five for unitary groups over finite…
Curtis-Tits groups generalizing Kac-Moody groups of type
Rieuwert J. Blok, Corneliu Hoffman
In a previous paper we define a Curtis-Tits group as a certain generalization of a Kac-Moody group. We distinguish between orientable and non-orientable Curtis-Tits groups and iden…