3 papers
cs.DS2026
The cost of cyclic permutations and remainder sums in the Euclidean algorithm
Valentin Blomer, Kai-Uwe Bux
We discuss a modification to the Gries-Mills block swapping scheme for in-place rotation with average costs of 1.85 moves per element and worst case performance still at 3 moves pe…
math.AT2025
Geometric invariants of locally compact groups: the homological perspective
Kai-Uwe Bux, Elisa Hartmann, José Pedro Quintanilha
In this paper we develop the homological version of -theory for locally compact Hausdorff groups, leaving the homotopical version for another paper. Both versions are connected…
math.GR2025
On the Boone--Higman Conjecture for groups acting on locally finite trees
Kai-Uwe Bux, Claudio Llosa Isenrich, Xiaolei Wu
We develop a method for proving the Boone--Higman Conjecture for groups acting on locally finite trees. As a consequence, we prove the Boone--Higman Conjecture for all Baumslag--So…