4 papers
Codimensions one and two cohomology of Hecke congruence subgroups
Tatiana Abdelnaim, Jeremy Miller
For and a prime, the Hecke congruence subgroup is the subgroup of matrices whose first column is of the form $(*,0,\dots,0…
Scissors automorphism groups II: Solomon-Tits theorems
Alexander Kupers, Ezekiel Lemann, Cary Malkiewich +2
The Solomon-Tits theorem says that the poset of proper non-trivial subspaces of a finite-dimensional vector space has realisation equivalent to a wedge of spheres. In this paper we…
Scissors automorphism groups and their homology
Alexander Kupers, Ezekiel Lemann, Cary Malkiewich +2
In any category with a reasonable notion of cover, each object has a group of scissors automorphisms. We prove that under mild conditions, the homology of this group is independent…
Partial bases and homological stability of revisited
Calista Bernard, Jeremy Miller, Robin J. Sroka
Let be a unital ring satisfying the invariant basis number property, that every stably free -module is free, and that the complex of partial bases of every finite rank free…