12 citations · 40 across the 21 of their papers we have counts for
15 papers · 1 filter
Semidualities from products of trees
Daniel Studenmund, Kevin Wortman
Let be a global function field of characteristic , and let be a finite-index subgroup of an arithmetic group defined with respect to and such that any torsion elemen…
An infinitely generated virtual cohomology group for noncocompact arithmetic groups over function fields
Kevin Wortman
Let G be a noncocompact irreducible arithmetic group over a global function field K of characteristic p, and let H be a finite-index, residually p-finite subgroup of G. We show tha…
Horospherical limit points of S-arithmetic groups
Dave Witte Morris, Kevin Wortman
Suppose Gamma is an S-arithmetic subgroup of a connected, semisimple algebraic group G over a global field Q (of any characteristic). It is well known that Gamma acts by isometries…
Filling boundaries of coarse manifolds in semisimple and solvable arithmetic groups
Mladen Bestvina, Alex Eskin, Kevin Wortman
We provide partial results towards a conjectural generalization of a theorem of Lubotzky-Mozes-Raghunathan for arithmetic groups (over number fields or function fields) that implie…
On presentations of integer polynomial points of simple groups over number fields
Amir Mohammadi, Kevin Wortman
Let K be a number field and let A be its ring of integers. Let G be a connected, noncommutative, absolutely almost simple algebraic K-group. If the K-rank of G equals 2, then G(A[t…
Infinite generation of non-cocompact lattices on right-angled buildings
Anne Thomas, Kevin Wortman
Let Γbe a non-cocompact lattice on a locally finite regular right-angled building X. We prove that if Γhas a strict fundamental domain then Γis not finitely generated. We use the s…
Finite generation of lattices on products of trees
Anne Thomas, Kevin Wortman
We prove that an irreducible lattice acting on a product of two or more locally finite, biregular trees is finitely generated.
Exponential higher dimensional isoperimetric inequalities for some arithmetic groups
Kevin Wortman
We show that arithmetic subgroups of semisimple groups of relative Q-type A_n, B_n, C_n, D_n, E_6, or E_7 have an exponential lower bound to their isoperimetric inequality in the d…
Connectivity Properties of Horospheres in Euclidean Buildings and Applications to Finiteness Properties of Discrete Groups
Kai-Uwe Bux, Kevin Wortman
Let G(O_S) be an S-arithmetic subgroup of a connected, absolutely almost simple linear algebraic group G over a global function field K. We show that the sum of local ranks of G de…
SL(n,Z[t]) is not FP_{n-1}
Kai-Uwe Bux, Amir Mohammadi, Kevin Wortman
We prove the result from the title using the geometry of Euclidean buildings.
A finitely-presented solvable group with a small quasi-isometry group
Kevin Wortman
We exhibit a family of infinite, finitely-presented, nilpotent-by-abelian groups. Each member of this family is a solvable S-arithmetic group that is related to Baumslag-Solitar gr…
Quasi-isometries of rank one S-arithmetic lattices
Kevin Wortman
We complete the quasi-isometric classification of irreducible lattices in semisimple Lie groups over nondiscrete locally compact fields of characteristic zero by showing that any q…
A geometric proof that SL_2(Z[t,t^-1]) is not finitely presented
Kai-Uwe Bux, Kevin Wortman
We give a new proof of the theorem of Krstic-McCool from the title. Our proof has potential applications to the study of finiteness properties of other subgroups of SL_2 resulting…
Finiteness properties of arithmetic groups over function fields
Kai-Uwe Bux, Kevin Wortman
We determine when an arithmetic subgroup of a reductive group defined over a global function field is of type FP_\infty by comparing its large-scale geometry to the large-scale geo…
Quasi-isometric rigidity of higher rank S-arithmetic lattices
Kevin Wortman
We show that S-arithmetic lattices in semisimple Lie groups with no rank one factors are quasi-isometrically rigid.