17 citations · 25 across the 7 of their papers we have counts for
9 papers
p-adic functionals on torsion-free abelian groups
Gregory R. Maloney
Let p be a prime. A p-adic functional on a torsion-free abelian group G is a group homomorphism from G to the p-adic integers. The group of all such p-adic functionals is viewed as…
p-adic functionals on finite-rank torsion-free abelian groups
Gregory R. Maloney
Let p be a prime and G be a torsion-free abelian group. A homomorphism from G to the p-adic integers is called a p-adic functional on G. If G has finite rank, then G can be represe…
Beyond primitivity for one-dimensional substitution subshifts and tiling spaces
Gregory R. Maloney, Dan Rust
We study the topology and dynamics of subshifts and tiling spaces associated to non-primitive substitutions in one dimension. We identify a property of a substitution, which we cal…
Simple dimension groups that are isomorphic to stationary inductive limits
Gregory R. Maloney
A dimension group is an ordered abelian group that is an inductive limit of a sequence of simplicial groups, and a stationary dimension group is such an inductive limit in which th…
On substitution tilings of the plane with n-fold rotational symmetry
Gregory R. Maloney
A method is described for constructing, with computer assistance, planar substitution tilings that have n-fold rotational symmetry. This method uses as prototiles the set of rhombs…
The ultrasimplicial property for simple dimension groups with unique state, the image of which has rank one
Gregory R. Maloney
Let be an ordered group that is a direct sum of a rank-one torsion-free abelian group and a finite-rank torsion-free abelian group, with order structure arising from the natura…
A computer search for planar substitution tilings with n-fold rotational symmetry
Franz Gähler, Eugene E. Kwan, Gregory R. Maloney
We describe a computer algorithm that searches for substitution rules on a set of triangles, the angles of which are all integer multiples of π/n. We find new substitution rules ad…
Cohomology of One-dimensional Mixed Substitution Tiling Spaces
Franz Gähler, Gregory R. Maloney
We compute the Cech cohomology with integer coefficients of one-dimensional tiling spaces arising from not just one, but several different substitutions, all acting on the same set…
Computing arithmetic invariants for hyperbolic reflection groups
Omar Antolin-Camarena, Gregory R. Maloney, Roland K. W. Roeder
We describe a collection of computer scripts written in PARI/GP to compute, for reflection groups determined by finite-volume polyhedra in , the commensurability inva…