6 citations · 7 across the 8 of their papers we have counts for
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Singer cyclic lattices of type M
William Norledge
We construct the type-preserving panel-regular lattices in buildings of type M, for M with entries two, three or infinity, which have cyclic stabilizers of spherical 2-residues. We…
Quotients of buildings by groups acting freely on chambers
William Norledge
We introduce certain directed multigraphs with extra structure, called Weyl graphs, which model quotients of Tits buildings by type-preserving chamber-free group actions. Their adv…
Stacky Buildings
William Norledge
We introduce structures which model quotients of buildings by type-preserving group actions. These structures, which we call W-groupoids for W a Coxeter group, generalize Bruhat de…
Maximal torsion-free subgroups of certain lattices of hyperbolic buildings and Davis complexes
William Norledge, Anne Thomas, Alina Vdovina
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 finit…