4 citations · 11 across the 9 of their papers we have counts for
13 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…
Coxeter-Chein Loops
Rieuwert J. Blok, Stephen Gagola
In 1974 Orin Chein discovered a new family of Moufang loops which are now called Chein loops. Such a loop can be created from any group together with by a variat…
On flips of unitary buildings I: Classification of flips
Rieuwert J. Blok, Benjamin Carr
We classify flips of buildings arising from non-degenerate unitary spaces of dimension at least 4 over finite fields of odd characteristic in terms of their action on the underlyin…