25 citations · 146 across the 36 of their papers we have counts for
4 papers · 2 filters
Unabridged table of reflective lattices of rank 3
Daniel Allcock
This is the unabridged table of all 8595 rank three reflective Lorentzian lattices, intended as a supplement to the author's paper classifying them. The abridged table in that pape…
Reflection centralizers in Coxeter groups
Daniel Allcock
We refine Brink's theorem, that the non-reflection part of a reflection centralizer in a Coxeter group W is a free group. We give an explicit set of generators for centralizer, whi…
Normalizers of Parabolic Subgroups of Coxeter Groups
Daniel Allcock
We improve a bound of Borcherds on the virtual cohomological dimension of the non-reflection part of the normalizer of a parabolic subgroup of a Coxeter group. Our bound is in term…
The densest lattices in PGL3(Q2)
Daniel Allcock, Fumiharu Kato
We find the smallest possible covolume for lattices in PGL3(Q2), show that there are exactly two lattices with this covolume, and describe them explicitly. They are commensurable,…